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Finding the Fourth Proportional to 8,414.70, 11,613.15 and 5,058.60

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Solution

The fourth proportional to 8,414.70, 11,613.15 and 5,058.60 is: 6,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.70 : 11,613.15 = 5,058.60 : x
  2. Step 2: Convert to fraction form
    8,414.70/11,613.15 = 5,058.60/x
  3. Step 3: Cross multiply
    8,414.70x = 11,613.15 × 5,058.60
  4. Step 4: Simplify right side
    8,414.70x = 58,746,280.59
  5. Step 5: Solve for x
    x = 58,746,280.59/8,414.70
  6. Step 6: Final answer
    x = 6,981.39

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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.