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Finding the Fourth Proportional to 10,951.52, 16,428.90 and 5,757.80

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Solution

The fourth proportional to 10,951.52, 16,428.90 and 5,757.80 is: 8,637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.52 : 16,428.90 = 5,757.80 : x
  2. Step 2: Convert to fraction form
    10,951.52/16,428.90 = 5,757.80/x
  3. Step 3: Cross multiply
    10,951.52x = 16,428.90 × 5,757.80
  4. Step 4: Simplify right side
    10,951.52x = 94,594,320.42
  5. Step 5: Solve for x
    x = 94,594,320.42/10,951.52
  6. Step 6: Final answer
    x = 8,637.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.