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Finding the Fourth Proportional to 7,442.92, 11,208.95 and 6,778.62

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Solution

The fourth proportional to 7,442.92, 11,208.95 and 6,778.62 is: 10,208.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.92 : 11,208.95 = 6,778.62 : x
  2. Step 2: Convert to fraction form
    7,442.92/11,208.95 = 6,778.62/x
  3. Step 3: Cross multiply
    7,442.92x = 11,208.95 × 6,778.62
  4. Step 4: Simplify right side
    7,442.92x = 75,981,212.65
  5. Step 5: Solve for x
    x = 75,981,212.65/7,442.92
  6. Step 6: Final answer
    x = 10,208.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.