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Finding the Fourth Proportional to 10,124.73, 13,963.04 and 6,348.31

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Solution

The fourth proportional to 10,124.73, 13,963.04 and 6,348.31 is: 8,754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.73 : 13,963.04 = 6,348.31 : x
  2. Step 2: Convert to fraction form
    10,124.73/13,963.04 = 6,348.31/x
  3. Step 3: Cross multiply
    10,124.73x = 13,963.04 × 6,348.31
  4. Step 4: Simplify right side
    10,124.73x = 88,641,687.43
  5. Step 5: Solve for x
    x = 88,641,687.43/10,124.73
  6. Step 6: Final answer
    x = 8,754.97

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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.