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Finding the Fourth Proportional to 10,805.24, 16,200.66 and 3,878.84

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Solution

The fourth proportional to 10,805.24, 16,200.66 and 3,878.84 is: 5,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.24 : 16,200.66 = 3,878.84 : x
  2. Step 2: Convert to fraction form
    10,805.24/16,200.66 = 3,878.84/x
  3. Step 3: Cross multiply
    10,805.24x = 16,200.66 × 3,878.84
  4. Step 4: Simplify right side
    10,805.24x = 62,839,768.03
  5. Step 5: Solve for x
    x = 62,839,768.03/10,805.24
  6. Step 6: Final answer
    x = 5,815.68

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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.