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Finding the Fourth Proportional to 10,600.20, 15,912.45 and 6,444.90

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Solution

The fourth proportional to 10,600.20, 15,912.45 and 6,444.90 is: 9,674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.20 : 15,912.45 = 6,444.90 : x
  2. Step 2: Convert to fraction form
    10,600.20/15,912.45 = 6,444.90/x
  3. Step 3: Cross multiply
    10,600.20x = 15,912.45 × 6,444.90
  4. Step 4: Simplify right side
    10,600.20x = 102,554,149.01
  5. Step 5: Solve for x
    x = 102,554,149.01/10,600.20
  6. Step 6: Final answer
    x = 9,674.74

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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.