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Finding the Fourth Proportional to 10,716.62, 16,069.66 and 4,474.76

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Solution

The fourth proportional to 10,716.62, 16,069.66 and 4,474.76 is: 6,709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.62 : 16,069.66 = 4,474.76 : x
  2. Step 2: Convert to fraction form
    10,716.62/16,069.66 = 4,474.76/x
  3. Step 3: Cross multiply
    10,716.62x = 16,069.66 × 4,474.76
  4. Step 4: Simplify right side
    10,716.62x = 71,907,871.78
  5. Step 5: Solve for x
    x = 71,907,871.78/10,716.62
  6. Step 6: Final answer
    x = 6,709.94

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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.