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Finding the Fourth Proportional to 8,442.23, 11,587.86 and 8,081.37

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Solution

The fourth proportional to 8,442.23, 11,587.86 and 8,081.37 is: 11,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.23 : 11,587.86 = 8,081.37 : x
  2. Step 2: Convert to fraction form
    8,442.23/11,587.86 = 8,081.37/x
  3. Step 3: Cross multiply
    8,442.23x = 11,587.86 × 8,081.37
  4. Step 4: Simplify right side
    8,442.23x = 93,645,784.17
  5. Step 5: Solve for x
    x = 93,645,784.17/8,442.23
  6. Step 6: Final answer
    x = 11,092.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.