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Finding the Fourth Proportional to 11,868.12, 16,376.07 and 7,882.31

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Solution

The fourth proportional to 11,868.12, 16,376.07 and 7,882.31 is: 10,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.12 : 16,376.07 = 7,882.31 : x
  2. Step 2: Convert to fraction form
    11,868.12/16,376.07 = 7,882.31/x
  3. Step 3: Cross multiply
    11,868.12x = 16,376.07 × 7,882.31
  4. Step 4: Simplify right side
    11,868.12x = 129,081,330.82
  5. Step 5: Solve for x
    x = 129,081,330.82/11,868.12
  6. Step 6: Final answer
    x = 10,876.31

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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.