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Finding the Fourth Proportional to 7,250.25, 10,876.88 and 2,807.80

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Solution

The fourth proportional to 7,250.25, 10,876.88 and 2,807.80 is: 4,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,250.25 : 10,876.88 = 2,807.80 : x
  2. Step 2: Convert to fraction form
    7,250.25/10,876.88 = 2,807.80/x
  3. Step 3: Cross multiply
    7,250.25x = 10,876.88 × 2,807.80
  4. Step 4: Simplify right side
    7,250.25x = 30,540,103.66
  5. Step 5: Solve for x
    x = 30,540,103.66/7,250.25
  6. Step 6: Final answer
    x = 4,212.28

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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.