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Finding the Fourth Proportional to 10,728.68, 16,117.76 and 10,285.84

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Solution

The fourth proportional to 10,728.68, 16,117.76 and 10,285.84 is: 15,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.68 : 16,117.76 = 10,285.84 : x
  2. Step 2: Convert to fraction form
    10,728.68/16,117.76 = 10,285.84/x
  3. Step 3: Cross multiply
    10,728.68x = 16,117.76 × 10,285.84
  4. Step 4: Simplify right side
    10,728.68x = 165,784,700.52
  5. Step 5: Solve for x
    x = 165,784,700.52/10,728.68
  6. Step 6: Final answer
    x = 15,452.48

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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.