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Finding the Fourth Proportional to 11,202.57, 15,458.65 and 6,487.16

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Solution

The fourth proportional to 11,202.57, 15,458.65 and 6,487.16 is: 8,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.57 : 15,458.65 = 6,487.16 : x
  2. Step 2: Convert to fraction form
    11,202.57/15,458.65 = 6,487.16/x
  3. Step 3: Cross multiply
    11,202.57x = 15,458.65 × 6,487.16
  4. Step 4: Simplify right side
    11,202.57x = 100,282,642.42
  5. Step 5: Solve for x
    x = 100,282,642.42/11,202.57
  6. Step 6: Final answer
    x = 8,951.75

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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.