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Finding the Fourth Proportional to 10,514.96, 15,773.28 and 3,494.72

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Solution

The fourth proportional to 10,514.96, 15,773.28 and 3,494.72 is: 5,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.96 : 15,773.28 = 3,494.72 : x
  2. Step 2: Convert to fraction form
    10,514.96/15,773.28 = 3,494.72/x
  3. Step 3: Cross multiply
    10,514.96x = 15,773.28 × 3,494.72
  4. Step 4: Simplify right side
    10,514.96x = 55,123,197.08
  5. Step 5: Solve for x
    x = 55,123,197.08/10,514.96
  6. Step 6: Final answer
    x = 5,242.36

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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.