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Finding the Fourth Proportional to 8,162.36, 12,241.92 and 4,000.58

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Solution

The fourth proportional to 8,162.36, 12,241.92 and 4,000.58 is: 6,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.36 : 12,241.92 = 4,000.58 : x
  2. Step 2: Convert to fraction form
    8,162.36/12,241.92 = 4,000.58/x
  3. Step 3: Cross multiply
    8,162.36x = 12,241.92 × 4,000.58
  4. Step 4: Simplify right side
    8,162.36x = 48,974,780.31
  5. Step 5: Solve for x
    x = 48,974,780.31/8,162.36
  6. Step 6: Final answer
    x = 6,000.08

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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.