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Finding the Fourth Proportional to 10,661.28, 15,991.92 and 3,265.71

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Solution

The fourth proportional to 10,661.28, 15,991.92 and 3,265.71 is: 4,898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.28 : 15,991.92 = 3,265.71 : x
  2. Step 2: Convert to fraction form
    10,661.28/15,991.92 = 3,265.71/x
  3. Step 3: Cross multiply
    10,661.28x = 15,991.92 × 3,265.71
  4. Step 4: Simplify right side
    10,661.28x = 52,224,973.06
  5. Step 5: Solve for x
    x = 52,224,973.06/10,661.28
  6. Step 6: Final answer
    x = 4,898.57

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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.