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Finding the Fourth Proportional to 10,287.44, 15,438.97 and 6,776.26

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Solution

The fourth proportional to 10,287.44, 15,438.97 and 6,776.26 is: 10,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.44 : 15,438.97 = 6,776.26 : x
  2. Step 2: Convert to fraction form
    10,287.44/15,438.97 = 6,776.26/x
  3. Step 3: Cross multiply
    10,287.44x = 15,438.97 × 6,776.26
  4. Step 4: Simplify right side
    10,287.44x = 104,618,444.73
  5. Step 5: Solve for x
    x = 104,618,444.73/10,287.44
  6. Step 6: Final answer
    x = 10,169.53

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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.