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Finding the Fourth Proportional to 7,850.48, 10,843.25 and 5,869.82

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Solution

The fourth proportional to 7,850.48, 10,843.25 and 5,869.82 is: 8,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.48 : 10,843.25 = 5,869.82 : x
  2. Step 2: Convert to fraction form
    7,850.48/10,843.25 = 5,869.82/x
  3. Step 3: Cross multiply
    7,850.48x = 10,843.25 × 5,869.82
  4. Step 4: Simplify right side
    7,850.48x = 63,647,925.72
  5. Step 5: Solve for x
    x = 63,647,925.72/7,850.48
  6. Step 6: Final answer
    x = 8,107.52

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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.