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Finding the Fourth Proportional to 10,409.86, 15,614.65 and 2,512.31

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Solution

The fourth proportional to 10,409.86, 15,614.65 and 2,512.31 is: 3,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.86 : 15,614.65 = 2,512.31 : x
  2. Step 2: Convert to fraction form
    10,409.86/15,614.65 = 2,512.31/x
  3. Step 3: Cross multiply
    10,409.86x = 15,614.65 × 2,512.31
  4. Step 4: Simplify right side
    10,409.86x = 39,228,854.24
  5. Step 5: Solve for x
    x = 39,228,854.24/10,409.86
  6. Step 6: Final answer
    x = 3,768.43

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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.