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Finding the Fourth Proportional to 7,878.50, 11,821.86 and 5,104.45

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Solution

The fourth proportional to 7,878.50, 11,821.86 and 5,104.45 is: 7,659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.50 : 11,821.86 = 5,104.45 : x
  2. Step 2: Convert to fraction form
    7,878.50/11,821.86 = 5,104.45/x
  3. Step 3: Cross multiply
    7,878.50x = 11,821.86 × 5,104.45
  4. Step 4: Simplify right side
    7,878.50x = 60,344,063.72
  5. Step 5: Solve for x
    x = 60,344,063.72/7,878.50
  6. Step 6: Final answer
    x = 7,659.34

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