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Finding the Fourth Proportional to 10,914.26, 16,360.18 and 6,224.68

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Solution

The fourth proportional to 10,914.26, 16,360.18 and 6,224.68 is: 9,330.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.26 : 16,360.18 = 6,224.68 : x
  2. Step 2: Convert to fraction form
    10,914.26/16,360.18 = 6,224.68/x
  3. Step 3: Cross multiply
    10,914.26x = 16,360.18 × 6,224.68
  4. Step 4: Simplify right side
    10,914.26x = 101,836,885.24
  5. Step 5: Solve for x
    x = 101,836,885.24/10,914.26
  6. Step 6: Final answer
    x = 9,330.63

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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.