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Finding the Fourth Proportional to 8,393.18, 11,590.38 and 5,414.18

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Solution

The fourth proportional to 8,393.18, 11,590.38 and 5,414.18 is: 7,476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393.18 : 11,590.38 = 5,414.18 : x
  2. Step 2: Convert to fraction form
    8,393.18/11,590.38 = 5,414.18/x
  3. Step 3: Cross multiply
    8,393.18x = 11,590.38 × 5,414.18
  4. Step 4: Simplify right side
    8,393.18x = 62,752,403.59
  5. Step 5: Solve for x
    x = 62,752,403.59/8,393.18
  6. Step 6: Final answer
    x = 7,476.59

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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.