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Finding the Fourth Proportional to 8,160.75, 11,257.82 and 5,326.81

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Solution

The fourth proportional to 8,160.75, 11,257.82 and 5,326.81 is: 7,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160.75 : 11,257.82 = 5,326.81 : x
  2. Step 2: Convert to fraction form
    8,160.75/11,257.82 = 5,326.81/x
  3. Step 3: Cross multiply
    8,160.75x = 11,257.82 × 5,326.81
  4. Step 4: Simplify right side
    8,160.75x = 59,968,268.15
  5. Step 5: Solve for x
    x = 59,968,268.15/8,160.75
  6. Step 6: Final answer
    x = 7,348.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.