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Finding the Fourth Proportional to 8,440.80, 12,654.34 and 3,514.12

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Solution

The fourth proportional to 8,440.80, 12,654.34 and 3,514.12 is: 5,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.80 : 12,654.34 = 3,514.12 : x
  2. Step 2: Convert to fraction form
    8,440.80/12,654.34 = 3,514.12/x
  3. Step 3: Cross multiply
    8,440.80x = 12,654.34 × 3,514.12
  4. Step 4: Simplify right side
    8,440.80x = 44,468,828.86
  5. Step 5: Solve for x
    x = 44,468,828.86/8,440.80
  6. Step 6: Final answer
    x = 5,268.32

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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.