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Finding the Fourth Proportional to 7,092.87, 9,789.86 and 4,110.35

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Solution

The fourth proportional to 7,092.87, 9,789.86 and 4,110.35 is: 5,673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.87 : 9,789.86 = 4,110.35 : x
  2. Step 2: Convert to fraction form
    7,092.87/9,789.86 = 4,110.35/x
  3. Step 3: Cross multiply
    7,092.87x = 9,789.86 × 4,110.35
  4. Step 4: Simplify right side
    7,092.87x = 40,239,712.38
  5. Step 5: Solve for x
    x = 40,239,712.38/7,092.87
  6. Step 6: Final answer
    x = 5,673.27

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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.