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Finding the Fourth Proportional to 7,964.15, 10,991.70 and 5,733.41

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Solution

The fourth proportional to 7,964.15, 10,991.70 and 5,733.41 is: 7,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.15 : 10,991.70 = 5,733.41 : x
  2. Step 2: Convert to fraction form
    7,964.15/10,991.70 = 5,733.41/x
  3. Step 3: Cross multiply
    7,964.15x = 10,991.70 × 5,733.41
  4. Step 4: Simplify right side
    7,964.15x = 63,019,867.74
  5. Step 5: Solve for x
    x = 63,019,867.74/7,964.15
  6. Step 6: Final answer
    x = 7,912.95

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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.