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Finding the Fourth Proportional to 7,711.14, 10,638.89 and 4,723.86

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Solution

The fourth proportional to 7,711.14, 10,638.89 and 4,723.86 is: 6,517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.14 : 10,638.89 = 4,723.86 : x
  2. Step 2: Convert to fraction form
    7,711.14/10,638.89 = 4,723.86/x
  3. Step 3: Cross multiply
    7,711.14x = 10,638.89 × 4,723.86
  4. Step 4: Simplify right side
    7,711.14x = 50,256,626.92
  5. Step 5: Solve for x
    x = 50,256,626.92/7,711.14
  6. Step 6: Final answer
    x = 6,517.41

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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.