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Finding the Fourth Proportional to 7,167.84, 10,744.20 and 3,274.80

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Solution

The fourth proportional to 7,167.84, 10,744.20 and 3,274.80 is: 4,908.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.84 : 10,744.20 = 3,274.80 : x
  2. Step 2: Convert to fraction form
    7,167.84/10,744.20 = 3,274.80/x
  3. Step 3: Cross multiply
    7,167.84x = 10,744.20 × 3,274.80
  4. Step 4: Simplify right side
    7,167.84x = 35,185,106.16
  5. Step 5: Solve for x
    x = 35,185,106.16/7,167.84
  6. Step 6: Final answer
    x = 4,908.75

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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.