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Finding the Fourth Proportional to 7,966.32, 11,882.25 and 6,918.08

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Solution

The fourth proportional to 7,966.32, 11,882.25 and 6,918.08 is: 10,318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.32 : 11,882.25 = 6,918.08 : x
  2. Step 2: Convert to fraction form
    7,966.32/11,882.25 = 6,918.08/x
  3. Step 3: Cross multiply
    7,966.32x = 11,882.25 × 6,918.08
  4. Step 4: Simplify right side
    7,966.32x = 82,202,356.08
  5. Step 5: Solve for x
    x = 82,202,356.08/7,966.32
  6. Step 6: Final answer
    x = 10,318.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.