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Finding the Fourth Proportional to 8,118.78, 12,170.86 and 2,921

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Solution

The fourth proportional to 8,118.78, 12,170.86 and 2,921 is: 4,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,118.78 : 12,170.86 = 2,921 : x
  2. Step 2: Convert to fraction form
    8,118.78/12,170.86 = 2,921/x
  3. Step 3: Cross multiply
    8,118.78x = 12,170.86 × 2,921
  4. Step 4: Simplify right side
    8,118.78x = 35,551,082.06
  5. Step 5: Solve for x
    x = 35,551,082.06/8,118.78
  6. Step 6: Final answer
    x = 4,378.87

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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.