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Finding the Fourth Proportional to 10,874.13, 15,005.84 and 6,337.24

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Solution

The fourth proportional to 10,874.13, 15,005.84 and 6,337.24 is: 8,745.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.13 : 15,005.84 = 6,337.24 : x
  2. Step 2: Convert to fraction form
    10,874.13/15,005.84 = 6,337.24/x
  3. Step 3: Cross multiply
    10,874.13x = 15,005.84 × 6,337.24
  4. Step 4: Simplify right side
    10,874.13x = 95,095,609.48
  5. Step 5: Solve for x
    x = 95,095,609.48/10,874.13
  6. Step 6: Final answer
    x = 8,745.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.