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Finding the Fourth Proportional to 8,248.43, 11,382.82 and 4,471.58

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Solution

The fourth proportional to 8,248.43, 11,382.82 and 4,471.58 is: 6,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,248.43 : 11,382.82 = 4,471.58 : x
  2. Step 2: Convert to fraction form
    8,248.43/11,382.82 = 4,471.58/x
  3. Step 3: Cross multiply
    8,248.43x = 11,382.82 × 4,471.58
  4. Step 4: Simplify right side
    8,248.43x = 50,899,122.16
  5. Step 5: Solve for x
    x = 50,899,122.16/8,248.43
  6. Step 6: Final answer
    x = 6,170.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.