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Finding the Fourth Proportional to 10,435.92, 15,652.62 and 2,644.80

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Solution

The fourth proportional to 10,435.92, 15,652.62 and 2,644.80 is: 3,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.92 : 15,652.62 = 2,644.80 : x
  2. Step 2: Convert to fraction form
    10,435.92/15,652.62 = 2,644.80/x
  3. Step 3: Cross multiply
    10,435.92x = 15,652.62 × 2,644.80
  4. Step 4: Simplify right side
    10,435.92x = 41,398,049.38
  5. Step 5: Solve for x
    x = 41,398,049.38/10,435.92
  6. Step 6: Final answer
    x = 3,966.88

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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.