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Finding the Fourth Proportional to 8,364.47, 11,542.17 and 5,007.22

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Solution

The fourth proportional to 8,364.47, 11,542.17 and 5,007.22 is: 6,909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.47 : 11,542.17 = 5,007.22 : x
  2. Step 2: Convert to fraction form
    8,364.47/11,542.17 = 5,007.22/x
  3. Step 3: Cross multiply
    8,364.47x = 11,542.17 × 5,007.22
  4. Step 4: Simplify right side
    8,364.47x = 57,794,146.22
  5. Step 5: Solve for x
    x = 57,794,146.22/8,364.47
  6. Step 6: Final answer
    x = 6,909.48

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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.