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Finding the Fourth Proportional to 8,394.52, 11,583.14 and 5,414.39

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Solution

The fourth proportional to 8,394.52, 11,583.14 and 5,414.39 is: 7,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.52 : 11,583.14 = 5,414.39 : x
  2. Step 2: Convert to fraction form
    8,394.52/11,583.14 = 5,414.39/x
  3. Step 3: Cross multiply
    8,394.52x = 11,583.14 × 5,414.39
  4. Step 4: Simplify right side
    8,394.52x = 62,715,637.38
  5. Step 5: Solve for x
    x = 62,715,637.38/8,394.52
  6. Step 6: Final answer
    x = 7,471.02

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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.