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Finding the Fourth Proportional to 10,326.91, 14,251.20 and 6,078.13

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Solution

The fourth proportional to 10,326.91, 14,251.20 and 6,078.13 is: 8,387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.91 : 14,251.20 = 6,078.13 : x
  2. Step 2: Convert to fraction form
    10,326.91/14,251.20 = 6,078.13/x
  3. Step 3: Cross multiply
    10,326.91x = 14,251.20 × 6,078.13
  4. Step 4: Simplify right side
    10,326.91x = 86,620,646.26
  5. Step 5: Solve for x
    x = 86,620,646.26/10,326.91
  6. Step 6: Final answer
    x = 8,387.86

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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.