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Finding the Fourth Proportional to 7,878.53, 11,821.89 and 5,104.48

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Solution

The fourth proportional to 7,878.53, 11,821.89 and 5,104.48 is: 7,659.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.53 : 11,821.89 = 5,104.48 : x
  2. Step 2: Convert to fraction form
    7,878.53/11,821.89 = 5,104.48/x
  3. Step 3: Cross multiply
    7,878.53x = 11,821.89 × 5,104.48
  4. Step 4: Simplify right side
    7,878.53x = 60,344,601.07
  5. Step 5: Solve for x
    x = 60,344,601.07/7,878.53
  6. Step 6: Final answer
    x = 7,659.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.