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Finding the Fourth Proportional to 6,861.32, 10,290.54 and 2,243.24

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Solution

The fourth proportional to 6,861.32, 10,290.54 and 2,243.24 is: 3,364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.32 : 10,290.54 = 2,243.24 : x
  2. Step 2: Convert to fraction form
    6,861.32/10,290.54 = 2,243.24/x
  3. Step 3: Cross multiply
    6,861.32x = 10,290.54 × 2,243.24
  4. Step 4: Simplify right side
    6,861.32x = 23,084,150.95
  5. Step 5: Solve for x
    x = 23,084,150.95/6,861.32
  6. Step 6: Final answer
    x = 3,364.39

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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.