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Finding the Fourth Proportional to 7,776,000.65, 11,664,000.98 and 7,029,504.65

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Solution

The fourth proportional to 7,776,000.65, 11,664,000.98 and 7,029,504.65 is: 10,544,256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776,000.65 : 11,664,000.98 = 7,029,504.65 : x
  2. Step 2: Convert to fraction form
    7,776,000.65/11,664,000.98 = 7,029,504.65/x
  3. Step 3: Cross multiply
    7,776,000.65x = 11,664,000.98 × 7,029,504.65
  4. Step 4: Simplify right side
    7,776,000.65x = 81,992,149,126,514.56
  5. Step 5: Solve for x
    x = 81,992,149,126,514.56/7,776,000.65
  6. Step 6: Final answer
    x = 10,544,256.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.