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Finding the Fourth Proportional to 8,687.85, 13,031.67 and 2,114.05

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Solution

The fourth proportional to 8,687.85, 13,031.67 and 2,114.05 is: 3,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,687.85 : 13,031.67 = 2,114.05 : x
  2. Step 2: Convert to fraction form
    8,687.85/13,031.67 = 2,114.05/x
  3. Step 3: Cross multiply
    8,687.85x = 13,031.67 × 2,114.05
  4. Step 4: Simplify right side
    8,687.85x = 27,549,601.96
  5. Step 5: Solve for x
    x = 27,549,601.96/8,687.85
  6. Step 6: Final answer
    x = 3,171.05

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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.