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Finding the Fourth Proportional to 8,517.16, 12,776.38 and 2,361

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Solution

The fourth proportional to 8,517.16, 12,776.38 and 2,361 is: 3,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.16 : 12,776.38 = 2,361 : x
  2. Step 2: Convert to fraction form
    8,517.16/12,776.38 = 2,361/x
  3. Step 3: Cross multiply
    8,517.16x = 12,776.38 × 2,361
  4. Step 4: Simplify right side
    8,517.16x = 30,165,033.18
  5. Step 5: Solve for x
    x = 30,165,033.18/8,517.16
  6. Step 6: Final answer
    x = 3,541.68

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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.