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Finding the Fourth Proportional to 11,314.38, 15,613.85 and 6,278.61

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Solution

The fourth proportional to 11,314.38, 15,613.85 and 6,278.61 is: 8,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.38 : 15,613.85 = 6,278.61 : x
  2. Step 2: Convert to fraction form
    11,314.38/15,613.85 = 6,278.61/x
  3. Step 3: Cross multiply
    11,314.38x = 15,613.85 × 6,278.61
  4. Step 4: Simplify right side
    11,314.38x = 98,033,181.94
  5. Step 5: Solve for x
    x = 98,033,181.94/11,314.38
  6. Step 6: Final answer
    x = 8,664.47

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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.