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Finding the Fourth Proportional to 10,469.59, 14,453.13 and 8,224.27

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Solution

The fourth proportional to 10,469.59, 14,453.13 and 8,224.27 is: 11,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.59 : 14,453.13 = 8,224.27 : x
  2. Step 2: Convert to fraction form
    10,469.59/14,453.13 = 8,224.27/x
  3. Step 3: Cross multiply
    10,469.59x = 14,453.13 × 8,224.27
  4. Step 4: Simplify right side
    10,469.59x = 118,866,438.17
  5. Step 5: Solve for x
    x = 118,866,438.17/10,469.59
  6. Step 6: Final answer
    x = 11,353.50

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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.