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Finding the Fourth Proportional to 10,086.26, 15,116.67 and 7,165.22

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Solution

The fourth proportional to 10,086.26, 15,116.67 and 7,165.22 is: 10,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.26 : 15,116.67 = 7,165.22 : x
  2. Step 2: Convert to fraction form
    10,086.26/15,116.67 = 7,165.22/x
  3. Step 3: Cross multiply
    10,086.26x = 15,116.67 × 7,165.22
  4. Step 4: Simplify right side
    10,086.26x = 108,314,266.22
  5. Step 5: Solve for x
    x = 108,314,266.22/10,086.26
  6. Step 6: Final answer
    x = 10,738.79

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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.