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Finding the Fourth Proportional to 10,508.91, 15,763.32 and 3,489.45

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Solution

The fourth proportional to 10,508.91, 15,763.32 and 3,489.45 is: 5,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.91 : 15,763.32 = 3,489.45 : x
  2. Step 2: Convert to fraction form
    10,508.91/15,763.32 = 3,489.45/x
  3. Step 3: Cross multiply
    10,508.91x = 15,763.32 × 3,489.45
  4. Step 4: Simplify right side
    10,508.91x = 55,005,257.86
  5. Step 5: Solve for x
    x = 55,005,257.86/10,508.91
  6. Step 6: Final answer
    x = 5,234.16

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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.