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Finding the Fourth Proportional to 8,514.66, 12,766.08 and 3,580.29

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Solution

The fourth proportional to 8,514.66, 12,766.08 and 3,580.29 is: 5,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.66 : 12,766.08 = 3,580.29 : x
  2. Step 2: Convert to fraction form
    8,514.66/12,766.08 = 3,580.29/x
  3. Step 3: Cross multiply
    8,514.66x = 12,766.08 × 3,580.29
  4. Step 4: Simplify right side
    8,514.66x = 45,706,268.56
  5. Step 5: Solve for x
    x = 45,706,268.56/8,514.66
  6. Step 6: Final answer
    x = 5,367.95

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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.