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Finding the Fourth Proportional to 10,603.10, 15,902.21 and 4,761.38

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Solution

The fourth proportional to 10,603.10, 15,902.21 and 4,761.38 is: 7,140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.10 : 15,902.21 = 4,761.38 : x
  2. Step 2: Convert to fraction form
    10,603.10/15,902.21 = 4,761.38/x
  3. Step 3: Cross multiply
    10,603.10x = 15,902.21 × 4,761.38
  4. Step 4: Simplify right side
    10,603.10x = 75,716,397.04
  5. Step 5: Solve for x
    x = 75,716,397.04/10,603.10
  6. Step 6: Final answer
    x = 7,140.97

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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.