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Finding the Fourth Proportional to 10,115.66, 13,959.09 and 6,338.99

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Solution

The fourth proportional to 10,115.66, 13,959.09 and 6,338.99 is: 8,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.66 : 13,959.09 = 6,338.99 : x
  2. Step 2: Convert to fraction form
    10,115.66/13,959.09 = 6,338.99/x
  3. Step 3: Cross multiply
    10,115.66x = 13,959.09 × 6,338.99
  4. Step 4: Simplify right side
    10,115.66x = 88,486,462.12
  5. Step 5: Solve for x
    x = 88,486,462.12/10,115.66
  6. Step 6: Final answer
    x = 8,747.48

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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.