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Finding the Fourth Proportional to 7,949.49, 10,973.39 and 5,965.80

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Solution

The fourth proportional to 7,949.49, 10,973.39 and 5,965.80 is: 8,235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.49 : 10,973.39 = 5,965.80 : x
  2. Step 2: Convert to fraction form
    7,949.49/10,973.39 = 5,965.80/x
  3. Step 3: Cross multiply
    7,949.49x = 10,973.39 × 5,965.80
  4. Step 4: Simplify right side
    7,949.49x = 65,465,050.06
  5. Step 5: Solve for x
    x = 65,465,050.06/7,949.49
  6. Step 6: Final answer
    x = 8,235.13

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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.