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Finding the Fourth Proportional to 10,717.67, 14,789.97 and 6,001.71

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Solution

The fourth proportional to 10,717.67, 14,789.97 and 6,001.71 is: 8,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.67 : 14,789.97 = 6,001.71 : x
  2. Step 2: Convert to fraction form
    10,717.67/14,789.97 = 6,001.71/x
  3. Step 3: Cross multiply
    10,717.67x = 14,789.97 × 6,001.71
  4. Step 4: Simplify right side
    10,717.67x = 88,765,110.85
  5. Step 5: Solve for x
    x = 88,765,110.85/10,717.67
  6. Step 6: Final answer
    x = 8,282.13

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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.