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Finding the Fourth Proportional to 10,755.38, 14,839.71 and 6,276.29

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Solution

The fourth proportional to 10,755.38, 14,839.71 and 6,276.29 is: 8,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.38 : 14,839.71 = 6,276.29 : x
  2. Step 2: Convert to fraction form
    10,755.38/14,839.71 = 6,276.29/x
  3. Step 3: Cross multiply
    10,755.38x = 14,839.71 × 6,276.29
  4. Step 4: Simplify right side
    10,755.38x = 93,138,225.74
  5. Step 5: Solve for x
    x = 93,138,225.74/10,755.38
  6. Step 6: Final answer
    x = 8,659.69

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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.