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Finding the Fourth Proportional to 8,711.86, 12,023.39 and 5,175.07

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Solution

The fourth proportional to 8,711.86, 12,023.39 and 5,175.07 is: 7,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.86 : 12,023.39 = 5,175.07 : x
  2. Step 2: Convert to fraction form
    8,711.86/12,023.39 = 5,175.07/x
  3. Step 3: Cross multiply
    8,711.86x = 12,023.39 × 5,175.07
  4. Step 4: Simplify right side
    8,711.86x = 62,221,889.07
  5. Step 5: Solve for x
    x = 62,221,889.07/8,711.86
  6. Step 6: Final answer
    x = 7,142.20

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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.