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Finding the Fourth Proportional to 10,406.38, 15,608.41 and 2,615.21

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Solution

The fourth proportional to 10,406.38, 15,608.41 and 2,615.21 is: 3,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.38 : 15,608.41 = 2,615.21 : x
  2. Step 2: Convert to fraction form
    10,406.38/15,608.41 = 2,615.21/x
  3. Step 3: Cross multiply
    10,406.38x = 15,608.41 × 2,615.21
  4. Step 4: Simplify right side
    10,406.38x = 40,819,269.92
  5. Step 5: Solve for x
    x = 40,819,269.92/10,406.38
  6. Step 6: Final answer
    x = 3,922.52

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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.