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Finding the Fourth Proportional to 10,315.92, 15,474.08 and 2,524.80

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Solution

The fourth proportional to 10,315.92, 15,474.08 and 2,524.80 is: 3,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.92 : 15,474.08 = 2,524.80 : x
  2. Step 2: Convert to fraction form
    10,315.92/15,474.08 = 2,524.80/x
  3. Step 3: Cross multiply
    10,315.92x = 15,474.08 × 2,524.80
  4. Step 4: Simplify right side
    10,315.92x = 39,068,957.18
  5. Step 5: Solve for x
    x = 39,068,957.18/10,315.92
  6. Step 6: Final answer
    x = 3,787.25

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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.