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Finding the Fourth Proportional to 8,286.03, 12,414.47 and 7,382.07

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Solution

The fourth proportional to 8,286.03, 12,414.47 and 7,382.07 is: 11,060.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.03 : 12,414.47 = 7,382.07 : x
  2. Step 2: Convert to fraction form
    8,286.03/12,414.47 = 7,382.07/x
  3. Step 3: Cross multiply
    8,286.03x = 12,414.47 × 7,382.07
  4. Step 4: Simplify right side
    8,286.03x = 91,644,449.64
  5. Step 5: Solve for x
    x = 91,644,449.64/8,286.03
  6. Step 6: Final answer
    x = 11,060.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.