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Finding the Fourth Proportional to 11,687.10, 17,539.97 and 6,143.70

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Solution

The fourth proportional to 11,687.10, 17,539.97 and 6,143.70 is: 9,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.10 : 17,539.97 = 6,143.70 : x
  2. Step 2: Convert to fraction form
    11,687.10/17,539.97 = 6,143.70/x
  3. Step 3: Cross multiply
    11,687.10x = 17,539.97 × 6,143.70
  4. Step 4: Simplify right side
    11,687.10x = 107,760,282.97
  5. Step 5: Solve for x
    x = 107,760,282.97/11,687.10
  6. Step 6: Final answer
    x = 9,220.45

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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.