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Finding the Fourth Proportional to 11,713.28, 16,159.68 and 8,355.20

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Solution

The fourth proportional to 11,713.28, 16,159.68 and 8,355.20 is: 11,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.28 : 16,159.68 = 8,355.20 : x
  2. Step 2: Convert to fraction form
    11,713.28/16,159.68 = 8,355.20/x
  3. Step 3: Cross multiply
    11,713.28x = 16,159.68 × 8,355.20
  4. Step 4: Simplify right side
    11,713.28x = 135,017,358.34
  5. Step 5: Solve for x
    x = 135,017,358.34/11,713.28
  6. Step 6: Final answer
    x = 11,526.86

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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.