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Finding the Fourth Proportional to 8,182.26, 12,259.52 and 5,054.49

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Solution

The fourth proportional to 8,182.26, 12,259.52 and 5,054.49 is: 7,573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.26 : 12,259.52 = 5,054.49 : x
  2. Step 2: Convert to fraction form
    8,182.26/12,259.52 = 5,054.49/x
  3. Step 3: Cross multiply
    8,182.26x = 12,259.52 × 5,054.49
  4. Step 4: Simplify right side
    8,182.26x = 61,965,595.97
  5. Step 5: Solve for x
    x = 61,965,595.97/8,182.26
  6. Step 6: Final answer
    x = 7,573.16

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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.