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Finding the Fourth Proportional to 11,549.97, 15,938.95 and 6,514.18

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Solution

The fourth proportional to 11,549.97, 15,938.95 and 6,514.18 is: 8,989.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.97 : 15,938.95 = 6,514.18 : x
  2. Step 2: Convert to fraction form
    11,549.97/15,938.95 = 6,514.18/x
  3. Step 3: Cross multiply
    11,549.97x = 15,938.95 × 6,514.18
  4. Step 4: Simplify right side
    11,549.97x = 103,829,132.14
  5. Step 5: Solve for x
    x = 103,829,132.14/11,549.97
  6. Step 6: Final answer
    x = 8,989.56

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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.