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Finding the Fourth Proportional to 8,442.25, 12,654.73 and 3,514.75

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Solution

The fourth proportional to 8,442.25, 12,654.73 and 3,514.75 is: 5,268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.25 : 12,654.73 = 3,514.75 : x
  2. Step 2: Convert to fraction form
    8,442.25/12,654.73 = 3,514.75/x
  3. Step 3: Cross multiply
    8,442.25x = 12,654.73 × 3,514.75
  4. Step 4: Simplify right side
    8,442.25x = 44,478,212.27
  5. Step 5: Solve for x
    x = 44,478,212.27/8,442.25
  6. Step 6: Final answer
    x = 5,268.53

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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.