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Finding the Fourth Proportional to 8,158.68, 12,238.02 and 5,229.72

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Solution

The fourth proportional to 8,158.68, 12,238.02 and 5,229.72 is: 7,844.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.68 : 12,238.02 = 5,229.72 : x
  2. Step 2: Convert to fraction form
    8,158.68/12,238.02 = 5,229.72/x
  3. Step 3: Cross multiply
    8,158.68x = 12,238.02 × 5,229.72
  4. Step 4: Simplify right side
    8,158.68x = 64,001,417.95
  5. Step 5: Solve for x
    x = 64,001,417.95/8,158.68
  6. Step 6: Final answer
    x = 7,844.58

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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.