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Finding the Fourth Proportional to 10,024.81, 15,032.82 and 4,761.32

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Solution

The fourth proportional to 10,024.81, 15,032.82 and 4,761.32 is: 7,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.81 : 15,032.82 = 4,761.32 : x
  2. Step 2: Convert to fraction form
    10,024.81/15,032.82 = 4,761.32/x
  3. Step 3: Cross multiply
    10,024.81x = 15,032.82 × 4,761.32
  4. Step 4: Simplify right side
    10,024.81x = 71,576,104.10
  5. Step 5: Solve for x
    x = 71,576,104.10/10,024.81
  6. Step 6: Final answer
    x = 7,139.90

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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.