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Finding the Fourth Proportional to 7,600.43, 11,397.71 and 3,649.18

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Solution

The fourth proportional to 7,600.43, 11,397.71 and 3,649.18 is: 5,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.43 : 11,397.71 = 3,649.18 : x
  2. Step 2: Convert to fraction form
    7,600.43/11,397.71 = 3,649.18/x
  3. Step 3: Cross multiply
    7,600.43x = 11,397.71 × 3,649.18
  4. Step 4: Simplify right side
    7,600.43x = 41,592,265.32
  5. Step 5: Solve for x
    x = 41,592,265.32/7,600.43
  6. Step 6: Final answer
    x = 5,472.36

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