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Finding the Fourth Proportional to 8,116.75, 12,175.13 and 1,960.75

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Solution

The fourth proportional to 8,116.75, 12,175.13 and 1,960.75 is: 2,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.75 : 12,175.13 = 1,960.75 : x
  2. Step 2: Convert to fraction form
    8,116.75/12,175.13 = 1,960.75/x
  3. Step 3: Cross multiply
    8,116.75x = 12,175.13 × 1,960.75
  4. Step 4: Simplify right side
    8,116.75x = 23,872,386.15
  5. Step 5: Solve for x
    x = 23,872,386.15/8,116.75
  6. Step 6: Final answer
    x = 2,941.13

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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.