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Finding the Fourth Proportional to 7,831, 10,806.08 and 4,473.81

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Solution

The fourth proportional to 7,831, 10,806.08 and 4,473.81 is: 6,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831 : 10,806.08 = 4,473.81 : x
  2. Step 2: Convert to fraction form
    7,831/10,806.08 = 4,473.81/x
  3. Step 3: Cross multiply
    7,831x = 10,806.08 × 4,473.81
  4. Step 4: Simplify right side
    7,831x = 48,344,348.76
  5. Step 5: Solve for x
    x = 48,344,348.76/7,831
  6. Step 6: Final answer
    x = 6,173.46

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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.