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Finding the Fourth Proportional to 10,506.27, 15,760.41 and 3,484.80

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Solution

The fourth proportional to 10,506.27, 15,760.41 and 3,484.80 is: 5,227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.27 : 15,760.41 = 3,484.80 : x
  2. Step 2: Convert to fraction form
    10,506.27/15,760.41 = 3,484.80/x
  3. Step 3: Cross multiply
    10,506.27x = 15,760.41 × 3,484.80
  4. Step 4: Simplify right side
    10,506.27x = 54,921,876.77
  5. Step 5: Solve for x
    x = 54,921,876.77/10,506.27
  6. Step 6: Final answer
    x = 5,227.53

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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.