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Finding the Fourth Proportional to 11,607.72, 17,380.68 and 7,917.24

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Solution

The fourth proportional to 11,607.72, 17,380.68 and 7,917.24 is: 11,854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.72 : 17,380.68 = 7,917.24 : x
  2. Step 2: Convert to fraction form
    11,607.72/17,380.68 = 7,917.24/x
  3. Step 3: Cross multiply
    11,607.72x = 17,380.68 × 7,917.24
  4. Step 4: Simplify right side
    11,607.72x = 137,607,014.92
  5. Step 5: Solve for x
    x = 137,607,014.92/11,607.72
  6. Step 6: Final answer
    x = 11,854.78

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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.