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Finding the Fourth Proportional to 7,864.92, 11,804.40 and 3,251.16

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Solution

The fourth proportional to 7,864.92, 11,804.40 and 3,251.16 is: 4,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.92 : 11,804.40 = 3,251.16 : x
  2. Step 2: Convert to fraction form
    7,864.92/11,804.40 = 3,251.16/x
  3. Step 3: Cross multiply
    7,864.92x = 11,804.40 × 3,251.16
  4. Step 4: Simplify right side
    7,864.92x = 38,377,993.10
  5. Step 5: Solve for x
    x = 38,377,993.10/7,864.92
  6. Step 6: Final answer
    x = 4,879.64

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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.