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Finding the Fourth Proportional to 8,514.56, 12,764.28 and 3,324.08

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Solution

The fourth proportional to 8,514.56, 12,764.28 and 3,324.08 is: 4,983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.56 : 12,764.28 = 3,324.08 : x
  2. Step 2: Convert to fraction form
    8,514.56/12,764.28 = 3,324.08/x
  3. Step 3: Cross multiply
    8,514.56x = 12,764.28 × 3,324.08
  4. Step 4: Simplify right side
    8,514.56x = 42,429,487.86
  5. Step 5: Solve for x
    x = 42,429,487.86/8,514.56
  6. Step 6: Final answer
    x = 4,983.17

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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.