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Finding the Fourth Proportional to 8,291.35, 11,442.87 and 6,191.83

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Solution

The fourth proportional to 8,291.35, 11,442.87 and 6,191.83 is: 8,545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.35 : 11,442.87 = 6,191.83 : x
  2. Step 2: Convert to fraction form
    8,291.35/11,442.87 = 6,191.83/x
  3. Step 3: Cross multiply
    8,291.35x = 11,442.87 × 6,191.83
  4. Step 4: Simplify right side
    8,291.35x = 70,852,217.58
  5. Step 5: Solve for x
    x = 70,852,217.58/8,291.35
  6. Step 6: Final answer
    x = 8,545.32

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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.