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Finding the Fourth Proportional to 8,113.87, 12,170.35 and 2,849.12

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Solution

The fourth proportional to 8,113.87, 12,170.35 and 2,849.12 is: 4,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.87 : 12,170.35 = 2,849.12 : x
  2. Step 2: Convert to fraction form
    8,113.87/12,170.35 = 2,849.12/x
  3. Step 3: Cross multiply
    8,113.87x = 12,170.35 × 2,849.12
  4. Step 4: Simplify right side
    8,113.87x = 34,674,844.40
  5. Step 5: Solve for x
    x = 34,674,844.40/8,113.87
  6. Step 6: Final answer
    x = 4,273.53

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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.