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Finding the Fourth Proportional to 11,345.67, 15,644.39 and 7,761.24

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Solution

The fourth proportional to 11,345.67, 15,644.39 and 7,761.24 is: 10,701.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.67 : 15,644.39 = 7,761.24 : x
  2. Step 2: Convert to fraction form
    11,345.67/15,644.39 = 7,761.24/x
  3. Step 3: Cross multiply
    11,345.67x = 15,644.39 × 7,761.24
  4. Step 4: Simplify right side
    11,345.67x = 121,419,826.64
  5. Step 5: Solve for x
    x = 121,419,826.64/11,345.67
  6. Step 6: Final answer
    x = 10,701.86

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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.