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Finding the Fourth Proportional to 8,151.75, 12,219.35 and 3,214.61

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Solution

The fourth proportional to 8,151.75, 12,219.35 and 3,214.61 is: 4,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.75 : 12,219.35 = 3,214.61 : x
  2. Step 2: Convert to fraction form
    8,151.75/12,219.35 = 3,214.61/x
  3. Step 3: Cross multiply
    8,151.75x = 12,219.35 × 3,214.61
  4. Step 4: Simplify right side
    8,151.75x = 39,280,428.63
  5. Step 5: Solve for x
    x = 39,280,428.63/8,151.75
  6. Step 6: Final answer
    x = 4,818.65

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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.