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Finding the Fourth Proportional to 10,213.20, 15,305.40 and 4,050

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Solution

The fourth proportional to 10,213.20, 15,305.40 and 4,050 is: 6,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.20 : 15,305.40 = 4,050 : x
  2. Step 2: Convert to fraction form
    10,213.20/15,305.40 = 4,050/x
  3. Step 3: Cross multiply
    10,213.20x = 15,305.40 × 4,050
  4. Step 4: Simplify right side
    10,213.20x = 61,986,870
  5. Step 5: Solve for x
    x = 61,986,870/10,213.20
  6. Step 6: Final answer
    x = 6,069.29

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