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Finding the Fourth Proportional to 8,114.65, 12,170.92 and 2,567.50

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Solution

The fourth proportional to 8,114.65, 12,170.92 and 2,567.50 is: 3,850.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.65 : 12,170.92 = 2,567.50 : x
  2. Step 2: Convert to fraction form
    8,114.65/12,170.92 = 2,567.50/x
  3. Step 3: Cross multiply
    8,114.65x = 12,170.92 × 2,567.50
  4. Step 4: Simplify right side
    8,114.65x = 31,248,837.10
  5. Step 5: Solve for x
    x = 31,248,837.10/8,114.65
  6. Step 6: Final answer
    x = 3,850.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.