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Finding the Fourth Proportional to 11,637.59, 17,450.17 and 6,077.48

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Solution

The fourth proportional to 11,637.59, 17,450.17 and 6,077.48 is: 9,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.59 : 17,450.17 = 6,077.48 : x
  2. Step 2: Convert to fraction form
    11,637.59/17,450.17 = 6,077.48/x
  3. Step 3: Cross multiply
    11,637.59x = 17,450.17 × 6,077.48
  4. Step 4: Simplify right side
    11,637.59x = 106,053,059.17
  5. Step 5: Solve for x
    x = 106,053,059.17/11,637.59
  6. Step 6: Final answer
    x = 9,112.97

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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.