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Finding the Fourth Proportional to 8,045.65, 12,064.36 and 3,364.39

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Solution

The fourth proportional to 8,045.65, 12,064.36 and 3,364.39 is: 5,044.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.65 : 12,064.36 = 3,364.39 : x
  2. Step 2: Convert to fraction form
    8,045.65/12,064.36 = 3,364.39/x
  3. Step 3: Cross multiply
    8,045.65x = 12,064.36 × 3,364.39
  4. Step 4: Simplify right side
    8,045.65x = 40,589,212.14
  5. Step 5: Solve for x
    x = 40,589,212.14/8,045.65
  6. Step 6: Final answer
    x = 5,044.86

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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.