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Finding the Fourth Proportional to 7,952.26, 10,974.41 and 4,806.63

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Solution

The fourth proportional to 7,952.26, 10,974.41 and 4,806.63 is: 6,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.26 : 10,974.41 = 4,806.63 : x
  2. Step 2: Convert to fraction form
    7,952.26/10,974.41 = 4,806.63/x
  3. Step 3: Cross multiply
    7,952.26x = 10,974.41 × 4,806.63
  4. Step 4: Simplify right side
    7,952.26x = 52,749,928.34
  5. Step 5: Solve for x
    x = 52,749,928.34/7,952.26
  6. Step 6: Final answer
    x = 6,633.33

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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.