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Finding the Fourth Proportional to 7,744.82, 10,687.94 and 4,208.08

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Solution

The fourth proportional to 7,744.82, 10,687.94 and 4,208.08 is: 5,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.82 : 10,687.94 = 4,208.08 : x
  2. Step 2: Convert to fraction form
    7,744.82/10,687.94 = 4,208.08/x
  3. Step 3: Cross multiply
    7,744.82x = 10,687.94 × 4,208.08
  4. Step 4: Simplify right side
    7,744.82x = 44,975,706.56
  5. Step 5: Solve for x
    x = 44,975,706.56/7,744.82
  6. Step 6: Final answer
    x = 5,807.20

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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.