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Finding the Fourth Proportional to 8,514.80, 12,767.93 and 5,401.06

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Solution

The fourth proportional to 8,514.80, 12,767.93 and 5,401.06 is: 8,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.80 : 12,767.93 = 5,401.06 : x
  2. Step 2: Convert to fraction form
    8,514.80/12,767.93 = 5,401.06/x
  3. Step 3: Cross multiply
    8,514.80x = 12,767.93 × 5,401.06
  4. Step 4: Simplify right side
    8,514.80x = 68,960,335.29
  5. Step 5: Solve for x
    x = 68,960,335.29/8,514.80
  6. Step 6: Final answer
    x = 8,098.88

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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.