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Finding the Fourth Proportional to 7,950.50, 10,974.11 and 4,964.43

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Solution

The fourth proportional to 7,950.50, 10,974.11 and 4,964.43 is: 6,852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,950.50 : 10,974.11 = 4,964.43 : x
  2. Step 2: Convert to fraction form
    7,950.50/10,974.11 = 4,964.43/x
  3. Step 3: Cross multiply
    7,950.50x = 10,974.11 × 4,964.43
  4. Step 4: Simplify right side
    7,950.50x = 54,480,176.09
  5. Step 5: Solve for x
    x = 54,480,176.09/7,950.50
  6. Step 6: Final answer
    x = 6,852.43

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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.