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Finding the Fourth Proportional to 8,046.56, 12,074.58 and 3,115.95

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Solution

The fourth proportional to 8,046.56, 12,074.58 and 3,115.95 is: 4,675.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.56 : 12,074.58 = 3,115.95 : x
  2. Step 2: Convert to fraction form
    8,046.56/12,074.58 = 3,115.95/x
  3. Step 3: Cross multiply
    8,046.56x = 12,074.58 × 3,115.95
  4. Step 4: Simplify right side
    8,046.56x = 37,623,787.55
  5. Step 5: Solve for x
    x = 37,623,787.55/8,046.56
  6. Step 6: Final answer
    x = 4,675.76

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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.