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Finding the Fourth Proportional to 10,942.80, 15,101.06 and 5,974.80

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Solution

The fourth proportional to 10,942.80, 15,101.06 and 5,974.80 is: 8,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.80 : 15,101.06 = 5,974.80 : x
  2. Step 2: Convert to fraction form
    10,942.80/15,101.06 = 5,974.80/x
  3. Step 3: Cross multiply
    10,942.80x = 15,101.06 × 5,974.80
  4. Step 4: Simplify right side
    10,942.80x = 90,225,813.29
  5. Step 5: Solve for x
    x = 90,225,813.29/10,942.80
  6. Step 6: Final answer
    x = 8,245.22

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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.