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Finding the Fourth Proportional to 7,872.39, 10,854.89 and 5,879.58

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Solution

The fourth proportional to 7,872.39, 10,854.89 and 5,879.58 is: 8,107.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.39 : 10,854.89 = 5,879.58 : x
  2. Step 2: Convert to fraction form
    7,872.39/10,854.89 = 5,879.58/x
  3. Step 3: Cross multiply
    7,872.39x = 10,854.89 × 5,879.58
  4. Step 4: Simplify right side
    7,872.39x = 63,822,164.75
  5. Step 5: Solve for x
    x = 63,822,164.75/7,872.39
  6. Step 6: Final answer
    x = 8,107.09

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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.