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Finding the Fourth Proportional to 7,710,000.40, 11,553,941.40 and 5,672,342.80

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Solution

The fourth proportional to 7,710,000.40, 11,553,941.40 and 5,672,342.80 is: 8,500,377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710,000.40 : 11,553,941.40 = 5,672,342.80 : x
  2. Step 2: Convert to fraction form
    7,710,000.40/11,553,941.40 = 5,672,342.80/x
  3. Step 3: Cross multiply
    7,710,000.40x = 11,553,941.40 × 5,672,342.80
  4. Step 4: Simplify right side
    7,710,000.40x = 65,537,916,311,911.92
  5. Step 5: Solve for x
    x = 65,537,916,311,911.92/7,710,000.40
  6. Step 6: Final answer
    x = 8,500,377.81

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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.