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Finding the Fourth Proportional to 8,182.12, 12,271.12 and 2,338.76

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Solution

The fourth proportional to 8,182.12, 12,271.12 and 2,338.76 is: 3,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.12 : 12,271.12 = 2,338.76 : x
  2. Step 2: Convert to fraction form
    8,182.12/12,271.12 = 2,338.76/x
  3. Step 3: Cross multiply
    8,182.12x = 12,271.12 × 2,338.76
  4. Step 4: Simplify right side
    8,182.12x = 28,699,204.61
  5. Step 5: Solve for x
    x = 28,699,204.61/8,182.12
  6. Step 6: Final answer
    x = 3,507.55

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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.