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Finding the Fourth Proportional to 11,549.97, 15,938.97 and 6,244.79

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Solution

The fourth proportional to 11,549.97, 15,938.97 and 6,244.79 is: 8,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.97 : 15,938.97 = 6,244.79 : x
  2. Step 2: Convert to fraction form
    11,549.97/15,938.97 = 6,244.79/x
  3. Step 3: Cross multiply
    11,549.97x = 15,938.97 × 6,244.79
  4. Step 4: Simplify right side
    11,549.97x = 99,535,520.47
  5. Step 5: Solve for x
    x = 99,535,520.47/11,549.97
  6. Step 6: Final answer
    x = 8,617.82

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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.