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Finding the Fourth Proportional to 10,644.72, 15,967.20 and 3,251.04

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Solution

The fourth proportional to 10,644.72, 15,967.20 and 3,251.04 is: 4,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.72 : 15,967.20 = 3,251.04 : x
  2. Step 2: Convert to fraction form
    10,644.72/15,967.20 = 3,251.04/x
  3. Step 3: Cross multiply
    10,644.72x = 15,967.20 × 3,251.04
  4. Step 4: Simplify right side
    10,644.72x = 51,910,005.89
  5. Step 5: Solve for x
    x = 51,910,005.89/10,644.72
  6. Step 6: Final answer
    x = 4,876.60

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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.