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Finding the Fourth Proportional to 10,957.24, 16,432.02 and 4,382.20

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Solution

The fourth proportional to 10,957.24, 16,432.02 and 4,382.20 is: 6,571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.24 : 16,432.02 = 4,382.20 : x
  2. Step 2: Convert to fraction form
    10,957.24/16,432.02 = 4,382.20/x
  3. Step 3: Cross multiply
    10,957.24x = 16,432.02 × 4,382.20
  4. Step 4: Simplify right side
    10,957.24x = 72,008,398.04
  5. Step 5: Solve for x
    x = 72,008,398.04/10,957.24
  6. Step 6: Final answer
    x = 6,571.76

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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.