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Finding the Fourth Proportional to 11,520.56, 15,898.11 and 6,416.04

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Solution

The fourth proportional to 11,520.56, 15,898.11 and 6,416.04 is: 8,853.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.56 : 15,898.11 = 6,416.04 : x
  2. Step 2: Convert to fraction form
    11,520.56/15,898.11 = 6,416.04/x
  3. Step 3: Cross multiply
    11,520.56x = 15,898.11 × 6,416.04
  4. Step 4: Simplify right side
    11,520.56x = 102,002,909.68
  5. Step 5: Solve for x
    x = 102,002,909.68/11,520.56
  6. Step 6: Final answer
    x = 8,853.99

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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.