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Finding the Fourth Proportional to 10,982.27, 15,155.54 and 5,946.54

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Solution

The fourth proportional to 10,982.27, 15,155.54 and 5,946.54 is: 8,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.27 : 15,155.54 = 5,946.54 : x
  2. Step 2: Convert to fraction form
    10,982.27/15,155.54 = 5,946.54/x
  3. Step 3: Cross multiply
    10,982.27x = 15,155.54 × 5,946.54
  4. Step 4: Simplify right side
    10,982.27x = 90,123,024.83
  5. Step 5: Solve for x
    x = 90,123,024.83/10,982.27
  6. Step 6: Final answer
    x = 8,206.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.