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Finding the Fourth Proportional to 10,417.54, 15,622.11 and 3,842.27

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Solution

The fourth proportional to 10,417.54, 15,622.11 and 3,842.27 is: 5,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.54 : 15,622.11 = 3,842.27 : x
  2. Step 2: Convert to fraction form
    10,417.54/15,622.11 = 3,842.27/x
  3. Step 3: Cross multiply
    10,417.54x = 15,622.11 × 3,842.27
  4. Step 4: Simplify right side
    10,417.54x = 60,024,267.27
  5. Step 5: Solve for x
    x = 60,024,267.27/10,417.54
  6. Step 6: Final answer
    x = 5,761.85

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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.