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Finding the Fourth Proportional to 7,812.44, 10,781.09 and 4,227.32

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Solution

The fourth proportional to 7,812.44, 10,781.09 and 4,227.32 is: 5,833.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.44 : 10,781.09 = 4,227.32 : x
  2. Step 2: Convert to fraction form
    7,812.44/10,781.09 = 4,227.32/x
  3. Step 3: Cross multiply
    7,812.44x = 10,781.09 × 4,227.32
  4. Step 4: Simplify right side
    7,812.44x = 45,575,082.94
  5. Step 5: Solve for x
    x = 45,575,082.94/7,812.44
  6. Step 6: Final answer
    x = 5,833.66

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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.