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Finding the Fourth Proportional to 8,667.85, 13,002.59 and 2,427.86

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Solution

The fourth proportional to 8,667.85, 13,002.59 and 2,427.86 is: 3,642.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.85 : 13,002.59 = 2,427.86 : x
  2. Step 2: Convert to fraction form
    8,667.85/13,002.59 = 2,427.86/x
  3. Step 3: Cross multiply
    8,667.85x = 13,002.59 × 2,427.86
  4. Step 4: Simplify right side
    8,667.85x = 31,568,468.16
  5. Step 5: Solve for x
    x = 31,568,468.16/8,667.85
  6. Step 6: Final answer
    x = 3,642.02

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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.