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Finding the Fourth Proportional to 7,863.80, 10,849.11 and 4,677.22

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Solution

The fourth proportional to 7,863.80, 10,849.11 and 4,677.22 is: 6,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.80 : 10,849.11 = 4,677.22 : x
  2. Step 2: Convert to fraction form
    7,863.80/10,849.11 = 4,677.22/x
  3. Step 3: Cross multiply
    7,863.80x = 10,849.11 × 4,677.22
  4. Step 4: Simplify right side
    7,863.80x = 50,743,679.25
  5. Step 5: Solve for x
    x = 50,743,679.25/7,863.80
  6. Step 6: Final answer
    x = 6,452.82

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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.