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Finding the Fourth Proportional to 10,305.88, 15,458.82 and 2,514.64

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Solution

The fourth proportional to 10,305.88, 15,458.82 and 2,514.64 is: 3,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.88 : 15,458.82 = 2,514.64 : x
  2. Step 2: Convert to fraction form
    10,305.88/15,458.82 = 2,514.64/x
  3. Step 3: Cross multiply
    10,305.88x = 15,458.82 × 2,514.64
  4. Step 4: Simplify right side
    10,305.88x = 38,873,367.12
  5. Step 5: Solve for x
    x = 38,873,367.12/10,305.88
  6. Step 6: Final answer
    x = 3,771.96

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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.