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Finding the Fourth Proportional to 10,952.10, 16,440.42 and 4,382.86

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Solution

The fourth proportional to 10,952.10, 16,440.42 and 4,382.86 is: 6,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.10 : 16,440.42 = 4,382.86 : x
  2. Step 2: Convert to fraction form
    10,952.10/16,440.42 = 4,382.86/x
  3. Step 3: Cross multiply
    10,952.10x = 16,440.42 × 4,382.86
  4. Step 4: Simplify right side
    10,952.10x = 72,056,059.20
  5. Step 5: Solve for x
    x = 72,056,059.20/10,952.10
  6. Step 6: Final answer
    x = 6,579.20

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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.