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Finding the Fourth Proportional to 8,119.85, 12,175.21 and 2,572.16

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Solution

The fourth proportional to 8,119.85, 12,175.21 and 2,572.16 is: 3,856.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.85 : 12,175.21 = 2,572.16 : x
  2. Step 2: Convert to fraction form
    8,119.85/12,175.21 = 2,572.16/x
  3. Step 3: Cross multiply
    8,119.85x = 12,175.21 × 2,572.16
  4. Step 4: Simplify right side
    8,119.85x = 31,316,530.49
  5. Step 5: Solve for x
    x = 31,316,530.49/8,119.85
  6. Step 6: Final answer
    x = 3,856.79

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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.