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Finding the Fourth Proportional to 8,236.92, 11,371.86 and 5,097.36

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Solution

The fourth proportional to 8,236.92, 11,371.86 and 5,097.36 is: 7,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,236.92 : 11,371.86 = 5,097.36 : x
  2. Step 2: Convert to fraction form
    8,236.92/11,371.86 = 5,097.36/x
  3. Step 3: Cross multiply
    8,236.92x = 11,371.86 × 5,097.36
  4. Step 4: Simplify right side
    8,236.92x = 57,966,464.29
  5. Step 5: Solve for x
    x = 57,966,464.29/8,236.92
  6. Step 6: Final answer
    x = 7,037.40

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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.