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Finding the Fourth Proportional to 8,252.26, 12,383.79 and 7,584.82

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Solution

The fourth proportional to 8,252.26, 12,383.79 and 7,584.82 is: 11,382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.26 : 12,383.79 = 7,584.82 : x
  2. Step 2: Convert to fraction form
    8,252.26/12,383.79 = 7,584.82/x
  3. Step 3: Cross multiply
    8,252.26x = 12,383.79 × 7,584.82
  4. Step 4: Simplify right side
    8,252.26x = 93,928,818.07
  5. Step 5: Solve for x
    x = 93,928,818.07/8,252.26
  6. Step 6: Final answer
    x = 11,382.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.