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Finding the Fourth Proportional to 10,514.71, 15,775.35 and 3,119.21

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Solution

The fourth proportional to 10,514.71, 15,775.35 and 3,119.21 is: 4,679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.71 : 15,775.35 = 3,119.21 : x
  2. Step 2: Convert to fraction form
    10,514.71/15,775.35 = 3,119.21/x
  3. Step 3: Cross multiply
    10,514.71x = 15,775.35 × 3,119.21
  4. Step 4: Simplify right side
    10,514.71x = 49,206,550.60
  5. Step 5: Solve for x
    x = 49,206,550.60/10,514.71
  6. Step 6: Final answer
    x = 4,679.78

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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.