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Finding the Fourth Proportional to 7,647.75, 11,471.49 and 2,101.07

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Solution

The fourth proportional to 7,647.75, 11,471.49 and 2,101.07 is: 3,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.75 : 11,471.49 = 2,101.07 : x
  2. Step 2: Convert to fraction form
    7,647.75/11,471.49 = 2,101.07/x
  3. Step 3: Cross multiply
    7,647.75x = 11,471.49 × 2,101.07
  4. Step 4: Simplify right side
    7,647.75x = 24,102,392.99
  5. Step 5: Solve for x
    x = 24,102,392.99/7,647.75
  6. Step 6: Final answer
    x = 3,151.57

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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.