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Finding the Fourth Proportional to 7,965.91, 10,993.46 and 4,429.10

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Solution

The fourth proportional to 7,965.91, 10,993.46 and 4,429.10 is: 6,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.91 : 10,993.46 = 4,429.10 : x
  2. Step 2: Convert to fraction form
    7,965.91/10,993.46 = 4,429.10/x
  3. Step 3: Cross multiply
    7,965.91x = 10,993.46 × 4,429.10
  4. Step 4: Simplify right side
    7,965.91x = 48,691,133.69
  5. Step 5: Solve for x
    x = 48,691,133.69/7,965.91
  6. Step 6: Final answer
    x = 6,112.44

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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.