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Finding the Fourth Proportional to 10,205.26, 15,276.06 and 7,859.20

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Solution

The fourth proportional to 10,205.26, 15,276.06 and 7,859.20 is: 11,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.26 : 15,276.06 = 7,859.20 : x
  2. Step 2: Convert to fraction form
    10,205.26/15,276.06 = 7,859.20/x
  3. Step 3: Cross multiply
    10,205.26x = 15,276.06 × 7,859.20
  4. Step 4: Simplify right side
    10,205.26x = 120,057,610.75
  5. Step 5: Solve for x
    x = 120,057,610.75/10,205.26
  6. Step 6: Final answer
    x = 11,764.29

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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.