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Finding the Fourth Proportional to 8,428.38, 12,642.89 and 2,188.22

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Solution

The fourth proportional to 8,428.38, 12,642.89 and 2,188.22 is: 3,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.38 : 12,642.89 = 2,188.22 : x
  2. Step 2: Convert to fraction form
    8,428.38/12,642.89 = 2,188.22/x
  3. Step 3: Cross multiply
    8,428.38x = 12,642.89 × 2,188.22
  4. Step 4: Simplify right side
    8,428.38x = 27,665,424.76
  5. Step 5: Solve for x
    x = 27,665,424.76/8,428.38
  6. Step 6: Final answer
    x = 3,282.41

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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.