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Finding the Fourth Proportional to 11,600.61, 17,422.38 and 6,057.78

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Solution

The fourth proportional to 11,600.61, 17,422.38 and 6,057.78 is: 9,097.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.61 : 17,422.38 = 6,057.78 : x
  2. Step 2: Convert to fraction form
    11,600.61/17,422.38 = 6,057.78/x
  3. Step 3: Cross multiply
    11,600.61x = 17,422.38 × 6,057.78
  4. Step 4: Simplify right side
    11,600.61x = 105,540,945.12
  5. Step 5: Solve for x
    x = 105,540,945.12/11,600.61
  6. Step 6: Final answer
    x = 9,097.88

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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.