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Finding the Fourth Proportional to 7,086.92, 9,780.41 and 4,103.80

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Solution

The fourth proportional to 7,086.92, 9,780.41 and 4,103.80 is: 5,663.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.92 : 9,780.41 = 4,103.80 : x
  2. Step 2: Convert to fraction form
    7,086.92/9,780.41 = 4,103.80/x
  3. Step 3: Cross multiply
    7,086.92x = 9,780.41 × 4,103.80
  4. Step 4: Simplify right side
    7,086.92x = 40,136,832.37
  5. Step 5: Solve for x
    x = 40,136,832.37/7,086.92
  6. Step 6: Final answer
    x = 5,663.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.