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Finding the Fourth Proportional to 10,942.20, 15,100.20 and 6,226.20

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Solution

The fourth proportional to 10,942.20, 15,100.20 and 6,226.20 is: 8,592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.20 : 15,100.20 = 6,226.20 : x
  2. Step 2: Convert to fraction form
    10,942.20/15,100.20 = 6,226.20/x
  3. Step 3: Cross multiply
    10,942.20x = 15,100.20 × 6,226.20
  4. Step 4: Simplify right side
    10,942.20x = 94,016,865.24
  5. Step 5: Solve for x
    x = 94,016,865.24/10,942.20
  6. Step 6: Final answer
    x = 8,592.14

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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.