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Finding the Fourth Proportional to 7,851.56, 10,834.25 and 4,494.18

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Solution

The fourth proportional to 7,851.56, 10,834.25 and 4,494.18 is: 6,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.56 : 10,834.25 = 4,494.18 : x
  2. Step 2: Convert to fraction form
    7,851.56/10,834.25 = 4,494.18/x
  3. Step 3: Cross multiply
    7,851.56x = 10,834.25 × 4,494.18
  4. Step 4: Simplify right side
    7,851.56x = 48,691,043.73
  5. Step 5: Solve for x
    x = 48,691,043.73/7,851.56
  6. Step 6: Final answer
    x = 6,201.44

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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.