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Finding the Fourth Proportional to 10,472.22, 15,688.82 and 5,201.21

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Solution

The fourth proportional to 10,472.22, 15,688.82 and 5,201.21 is: 7,792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.22 : 15,688.82 = 5,201.21 : x
  2. Step 2: Convert to fraction form
    10,472.22/15,688.82 = 5,201.21/x
  3. Step 3: Cross multiply
    10,472.22x = 15,688.82 × 5,201.21
  4. Step 4: Simplify right side
    10,472.22x = 81,600,899.70
  5. Step 5: Solve for x
    x = 81,600,899.70/10,472.22
  6. Step 6: Final answer
    x = 7,792.13

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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.