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Finding the Fourth Proportional to 8,514.54, 12,776.75 and 3,583.86

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Solution

The fourth proportional to 8,514.54, 12,776.75 and 3,583.86 is: 5,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.54 : 12,776.75 = 3,583.86 : x
  2. Step 2: Convert to fraction form
    8,514.54/12,776.75 = 3,583.86/x
  3. Step 3: Cross multiply
    8,514.54x = 12,776.75 × 3,583.86
  4. Step 4: Simplify right side
    8,514.54x = 45,790,083.26
  5. Step 5: Solve for x
    x = 45,790,083.26/8,514.54
  6. Step 6: Final answer
    x = 5,377.87

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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.