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Finding the Fourth Proportional to 7,648.80, 11,471.87 and 2,100.82

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Solution

The fourth proportional to 7,648.80, 11,471.87 and 2,100.82 is: 3,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.80 : 11,471.87 = 2,100.82 : x
  2. Step 2: Convert to fraction form
    7,648.80/11,471.87 = 2,100.82/x
  3. Step 3: Cross multiply
    7,648.80x = 11,471.87 × 2,100.82
  4. Step 4: Simplify right side
    7,648.80x = 24,100,383.37
  5. Step 5: Solve for x
    x = 24,100,383.37/7,648.80
  6. Step 6: Final answer
    x = 3,150.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.