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Finding the Fourth Proportional to 8,158.80, 12,238.20 and 5,228.40

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Solution

The fourth proportional to 8,158.80, 12,238.20 and 5,228.40 is: 7,842.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.80 : 12,238.20 = 5,228.40 : x
  2. Step 2: Convert to fraction form
    8,158.80/12,238.20 = 5,228.40/x
  3. Step 3: Cross multiply
    8,158.80x = 12,238.20 × 5,228.40
  4. Step 4: Simplify right side
    8,158.80x = 63,986,204.88
  5. Step 5: Solve for x
    x = 63,986,204.88/8,158.80
  6. Step 6: Final answer
    x = 7,842.60

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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.