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Finding the Fourth Proportional to 10,960.76, 16,446.54 and 6,799.70

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Solution

The fourth proportional to 10,960.76, 16,446.54 and 6,799.70 is: 10,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960.76 : 16,446.54 = 6,799.70 : x
  2. Step 2: Convert to fraction form
    10,960.76/16,446.54 = 6,799.70/x
  3. Step 3: Cross multiply
    10,960.76x = 16,446.54 × 6,799.70
  4. Step 4: Simplify right side
    10,960.76x = 111,831,538.04
  5. Step 5: Solve for x
    x = 111,831,538.04/10,960.76
  6. Step 6: Final answer
    x = 10,202.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.