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Finding the Fourth Proportional to 11,524.28, 15,902.33 and 6,487.70

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Solution

The fourth proportional to 11,524.28, 15,902.33 and 6,487.70 is: 8,952.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.28 : 15,902.33 = 6,487.70 : x
  2. Step 2: Convert to fraction form
    11,524.28/15,902.33 = 6,487.70/x
  3. Step 3: Cross multiply
    11,524.28x = 15,902.33 × 6,487.70
  4. Step 4: Simplify right side
    11,524.28x = 103,169,434.39
  5. Step 5: Solve for x
    x = 103,169,434.39/11,524.28
  6. Step 6: Final answer
    x = 8,952.36

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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.