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Finding the Fourth Proportional to 10,867.23, 15,004.17 and 8,229.06

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Solution

The fourth proportional to 10,867.23, 15,004.17 and 8,229.06 is: 11,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.23 : 15,004.17 = 8,229.06 : x
  2. Step 2: Convert to fraction form
    10,867.23/15,004.17 = 8,229.06/x
  3. Step 3: Cross multiply
    10,867.23x = 15,004.17 × 8,229.06
  4. Step 4: Simplify right side
    10,867.23x = 123,470,215.18
  5. Step 5: Solve for x
    x = 123,470,215.18/10,867.23
  6. Step 6: Final answer
    x = 11,361.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.