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Finding the Fourth Proportional to 8,032.62, 11,091.39 and 5,346.42

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Solution

The fourth proportional to 8,032.62, 11,091.39 and 5,346.42 is: 7,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.62 : 11,091.39 = 5,346.42 : x
  2. Step 2: Convert to fraction form
    8,032.62/11,091.39 = 5,346.42/x
  3. Step 3: Cross multiply
    8,032.62x = 11,091.39 × 5,346.42
  4. Step 4: Simplify right side
    8,032.62x = 59,299,229.32
  5. Step 5: Solve for x
    x = 59,299,229.32/8,032.62
  6. Step 6: Final answer
    x = 7,382.30

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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.