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Finding the Fourth Proportional to 10,224.92, 14,101.64 and 7,043.29

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Solution

The fourth proportional to 10,224.92, 14,101.64 and 7,043.29 is: 9,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.92 : 14,101.64 = 7,043.29 : x
  2. Step 2: Convert to fraction form
    10,224.92/14,101.64 = 7,043.29/x
  3. Step 3: Cross multiply
    10,224.92x = 14,101.64 × 7,043.29
  4. Step 4: Simplify right side
    10,224.92x = 99,321,940.00
  5. Step 5: Solve for x
    x = 99,321,940.00/10,224.92
  6. Step 6: Final answer
    x = 9,713.71

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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.