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Finding the Fourth Proportional to 11,882.97, 16,398.45 and 6,578.10

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Solution

The fourth proportional to 11,882.97, 16,398.45 and 6,578.10 is: 9,077.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.97 : 16,398.45 = 6,578.10 : x
  2. Step 2: Convert to fraction form
    11,882.97/16,398.45 = 6,578.10/x
  3. Step 3: Cross multiply
    11,882.97x = 16,398.45 × 6,578.10
  4. Step 4: Simplify right side
    11,882.97x = 107,870,643.95
  5. Step 5: Solve for x
    x = 107,870,643.95/11,882.97
  6. Step 6: Final answer
    x = 9,077.75

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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.