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Finding the Fourth Proportional to 8,155.38, 12,231.39 and 5,152.51

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Solution

The fourth proportional to 8,155.38, 12,231.39 and 5,152.51 is: 7,727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.38 : 12,231.39 = 5,152.51 : x
  2. Step 2: Convert to fraction form
    8,155.38/12,231.39 = 5,152.51/x
  3. Step 3: Cross multiply
    8,155.38x = 12,231.39 × 5,152.51
  4. Step 4: Simplify right side
    8,155.38x = 63,022,359.29
  5. Step 5: Solve for x
    x = 63,022,359.29/8,155.38
  6. Step 6: Final answer
    x = 7,727.70

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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.