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Finding the Fourth Proportional to 7,647.81, 11,471.73 and 2,101.23

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Solution

The fourth proportional to 7,647.81, 11,471.73 and 2,101.23 is: 3,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.81 : 11,471.73 = 2,101.23 : x
  2. Step 2: Convert to fraction form
    7,647.81/11,471.73 = 2,101.23/x
  3. Step 3: Cross multiply
    7,647.81x = 11,471.73 × 2,101.23
  4. Step 4: Simplify right side
    7,647.81x = 24,104,743.23
  5. Step 5: Solve for x
    x = 24,104,743.23/7,647.81
  6. Step 6: Final answer
    x = 3,151.85

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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.