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Finding the Fourth Proportional to 6,952.77, 10,429.62 and 2,449.29

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Solution

The fourth proportional to 6,952.77, 10,429.62 and 2,449.29 is: 3,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.77 : 10,429.62 = 2,449.29 : x
  2. Step 2: Convert to fraction form
    6,952.77/10,429.62 = 2,449.29/x
  3. Step 3: Cross multiply
    6,952.77x = 10,429.62 × 2,449.29
  4. Step 4: Simplify right side
    6,952.77x = 25,545,163.97
  5. Step 5: Solve for x
    x = 25,545,163.97/6,952.77
  6. Step 6: Final answer
    x = 3,674.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.