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Finding the Fourth Proportional to 11,388.46, 15,713.53 and 6,609.20

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Solution

The fourth proportional to 11,388.46, 15,713.53 and 6,609.20 is: 9,119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,388.46 : 15,713.53 = 6,609.20 : x
  2. Step 2: Convert to fraction form
    11,388.46/15,713.53 = 6,609.20/x
  3. Step 3: Cross multiply
    11,388.46x = 15,713.53 × 6,609.20
  4. Step 4: Simplify right side
    11,388.46x = 103,853,910.02
  5. Step 5: Solve for x
    x = 103,853,910.02/11,388.46
  6. Step 6: Final answer
    x = 9,119.23

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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.