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Finding the Fourth Proportional to 7,766.64, 10,716.14 and 4,408.70

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Solution

The fourth proportional to 7,766.64, 10,716.14 and 4,408.70 is: 6,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.64 : 10,716.14 = 4,408.70 : x
  2. Step 2: Convert to fraction form
    7,766.64/10,716.14 = 4,408.70/x
  3. Step 3: Cross multiply
    7,766.64x = 10,716.14 × 4,408.70
  4. Step 4: Simplify right side
    7,766.64x = 47,244,170.79
  5. Step 5: Solve for x
    x = 47,244,170.79/7,766.64
  6. Step 6: Final answer
    x = 6,082.96

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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.