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Finding the Fourth Proportional to 10,942.66, 15,101.05 and 5,974.66

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Solution

The fourth proportional to 10,942.66, 15,101.05 and 5,974.66 is: 8,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.66 : 15,101.05 = 5,974.66 : x
  2. Step 2: Convert to fraction form
    10,942.66/15,101.05 = 5,974.66/x
  3. Step 3: Cross multiply
    10,942.66x = 15,101.05 × 5,974.66
  4. Step 4: Simplify right side
    10,942.66x = 90,223,639.39
  5. Step 5: Solve for x
    x = 90,223,639.39/10,942.66
  6. Step 6: Final answer
    x = 8,245.13

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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.