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Finding the Fourth Proportional to 8,141.16, 11,215.62 and 6,715.56

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Solution

The fourth proportional to 8,141.16, 11,215.62 and 6,715.56 is: 9,251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.16 : 11,215.62 = 6,715.56 : x
  2. Step 2: Convert to fraction form
    8,141.16/11,215.62 = 6,715.56/x
  3. Step 3: Cross multiply
    8,141.16x = 11,215.62 × 6,715.56
  4. Step 4: Simplify right side
    8,141.16x = 75,319,169.05
  5. Step 5: Solve for x
    x = 75,319,169.05/8,141.16
  6. Step 6: Final answer
    x = 9,251.65

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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.