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Finding the Fourth Proportional to 10,805.75, 16,209.15 and 5,252.48

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Solution

The fourth proportional to 10,805.75, 16,209.15 and 5,252.48 is: 7,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.75 : 16,209.15 = 5,252.48 : x
  2. Step 2: Convert to fraction form
    10,805.75/16,209.15 = 5,252.48/x
  3. Step 3: Cross multiply
    10,805.75x = 16,209.15 × 5,252.48
  4. Step 4: Simplify right side
    10,805.75x = 85,138,236.19
  5. Step 5: Solve for x
    x = 85,138,236.19/10,805.75
  6. Step 6: Final answer
    x = 7,878.98

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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.