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Finding the Fourth Proportional to 8,288.40, 12,424.61 and 5,318.47

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Solution

The fourth proportional to 8,288.40, 12,424.61 and 5,318.47 is: 7,972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.40 : 12,424.61 = 5,318.47 : x
  2. Step 2: Convert to fraction form
    8,288.40/12,424.61 = 5,318.47/x
  3. Step 3: Cross multiply
    8,288.40x = 12,424.61 × 5,318.47
  4. Step 4: Simplify right side
    8,288.40x = 66,079,897.78
  5. Step 5: Solve for x
    x = 66,079,897.78/8,288.40
  6. Step 6: Final answer
    x = 7,972.58

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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.