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Finding the Fourth Proportional to 10,034.80, 13,843.68 and 6,053.70

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Solution

The fourth proportional to 10,034.80, 13,843.68 and 6,053.70 is: 8,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.80 : 13,843.68 = 6,053.70 : x
  2. Step 2: Convert to fraction form
    10,034.80/13,843.68 = 6,053.70/x
  3. Step 3: Cross multiply
    10,034.80x = 13,843.68 × 6,053.70
  4. Step 4: Simplify right side
    10,034.80x = 83,805,565.91
  5. Step 5: Solve for x
    x = 83,805,565.91/10,034.80
  6. Step 6: Final answer
    x = 8,351.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.