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Finding the Fourth Proportional to 7,944.77, 10,964.72 and 4,408.21

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Solution

The fourth proportional to 7,944.77, 10,964.72 and 4,408.21 is: 6,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.77 : 10,964.72 = 4,408.21 : x
  2. Step 2: Convert to fraction form
    7,944.77/10,964.72 = 4,408.21/x
  3. Step 3: Cross multiply
    7,944.77x = 10,964.72 × 4,408.21
  4. Step 4: Simplify right side
    7,944.77x = 48,334,738.90
  5. Step 5: Solve for x
    x = 48,334,738.90/7,944.77
  6. Step 6: Final answer
    x = 6,083.85

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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.