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Finding the Fourth Proportional to 10,426.52, 15,644.12 and 4,190.97

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Solution

The fourth proportional to 10,426.52, 15,644.12 and 4,190.97 is: 6,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426.52 : 15,644.12 = 4,190.97 : x
  2. Step 2: Convert to fraction form
    10,426.52/15,644.12 = 4,190.97/x
  3. Step 3: Cross multiply
    10,426.52x = 15,644.12 × 4,190.97
  4. Step 4: Simplify right side
    10,426.52x = 65,564,037.60
  5. Step 5: Solve for x
    x = 65,564,037.60/10,426.52
  6. Step 6: Final answer
    x = 6,288.20

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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.