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Finding the Fourth Proportional to 10,601.58, 14,613.43 and 8,470.39

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Solution

The fourth proportional to 10,601.58, 14,613.43 and 8,470.39 is: 11,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.58 : 14,613.43 = 8,470.39 : x
  2. Step 2: Convert to fraction form
    10,601.58/14,613.43 = 8,470.39/x
  3. Step 3: Cross multiply
    10,601.58x = 14,613.43 × 8,470.39
  4. Step 4: Simplify right side
    10,601.58x = 123,781,436.91
  5. Step 5: Solve for x
    x = 123,781,436.91/10,601.58
  6. Step 6: Final answer
    x = 11,675.75

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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.