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Finding the Fourth Proportional to 8,226.80, 12,342.12 and 2,383.52

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Solution

The fourth proportional to 8,226.80, 12,342.12 and 2,383.52 is: 3,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.80 : 12,342.12 = 2,383.52 : x
  2. Step 2: Convert to fraction form
    8,226.80/12,342.12 = 2,383.52/x
  3. Step 3: Cross multiply
    8,226.80x = 12,342.12 × 2,383.52
  4. Step 4: Simplify right side
    8,226.80x = 29,417,689.86
  5. Step 5: Solve for x
    x = 29,417,689.86/8,226.80
  6. Step 6: Final answer
    x = 3,575.84

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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.