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Finding the Fourth Proportional to 7,949.81, 10,973.48 and 4,806

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Solution

The fourth proportional to 7,949.81, 10,973.48 and 4,806 is: 6,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.81 : 10,973.48 = 4,806 : x
  2. Step 2: Convert to fraction form
    7,949.81/10,973.48 = 4,806/x
  3. Step 3: Cross multiply
    7,949.81x = 10,973.48 × 4,806
  4. Step 4: Simplify right side
    7,949.81x = 52,738,520.85
  5. Step 5: Solve for x
    x = 52,738,520.85/7,949.81
  6. Step 6: Final answer
    x = 6,633.93

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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.