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Finding the Fourth Proportional to 10,196.75, 15,275.39 and 5,969.76

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Solution

The fourth proportional to 10,196.75, 15,275.39 and 5,969.76 is: 8,943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.75 : 15,275.39 = 5,969.76 : x
  2. Step 2: Convert to fraction form
    10,196.75/15,275.39 = 5,969.76/x
  3. Step 3: Cross multiply
    10,196.75x = 15,275.39 × 5,969.76
  4. Step 4: Simplify right side
    10,196.75x = 91,190,382.36
  5. Step 5: Solve for x
    x = 91,190,382.36/10,196.75
  6. Step 6: Final answer
    x = 8,943.09

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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.