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Finding the Fourth Proportional to 10,981.92, 15,155.08 and 5,946.21

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Solution

The fourth proportional to 10,981.92, 15,155.08 and 5,946.21 is: 8,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981.92 : 15,155.08 = 5,946.21 : x
  2. Step 2: Convert to fraction form
    10,981.92/15,155.08 = 5,946.21/x
  3. Step 3: Cross multiply
    10,981.92x = 15,155.08 × 5,946.21
  4. Step 4: Simplify right side
    10,981.92x = 90,115,227.34
  5. Step 5: Solve for x
    x = 90,115,227.34/10,981.92
  6. Step 6: Final answer
    x = 8,205.78

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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.