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Finding the Fourth Proportional to 8,514.68, 12,776.94 and 3,583.88

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Solution

The fourth proportional to 8,514.68, 12,776.94 and 3,583.88 is: 5,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.68 : 12,776.94 = 3,583.88 : x
  2. Step 2: Convert to fraction form
    8,514.68/12,776.94 = 3,583.88/x
  3. Step 3: Cross multiply
    8,514.68x = 12,776.94 × 3,583.88
  4. Step 4: Simplify right side
    8,514.68x = 45,791,019.73
  5. Step 5: Solve for x
    x = 45,791,019.73/8,514.68
  6. Step 6: Final answer
    x = 5,377.89

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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.