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Finding the Fourth Proportional to 8,528.68, 11,761.14 and 6,517.36

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Solution

The fourth proportional to 8,528.68, 11,761.14 and 6,517.36 is: 8,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,528.68 : 11,761.14 = 6,517.36 : x
  2. Step 2: Convert to fraction form
    8,528.68/11,761.14 = 6,517.36/x
  3. Step 3: Cross multiply
    8,528.68x = 11,761.14 × 6,517.36
  4. Step 4: Simplify right side
    8,528.68x = 76,651,583.39
  5. Step 5: Solve for x
    x = 76,651,583.39/8,528.68
  6. Step 6: Final answer
    x = 8,987.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.