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Finding the Fourth Proportional to 8,514.68, 12,775.19 and 3,833.28

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Solution

The fourth proportional to 8,514.68, 12,775.19 and 3,833.28 is: 5,751.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.68 : 12,775.19 = 3,833.28 : x
  2. Step 2: Convert to fraction form
    8,514.68/12,775.19 = 3,833.28/x
  3. Step 3: Cross multiply
    8,514.68x = 12,775.19 × 3,833.28
  4. Step 4: Simplify right side
    8,514.68x = 48,970,861.16
  5. Step 5: Solve for x
    x = 48,970,861.16/8,514.68
  6. Step 6: Final answer
    x = 5,751.35

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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.