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Finding the Fourth Proportional to 7,172.84, 10,755.57 and 3,220.72

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Solution

The fourth proportional to 7,172.84, 10,755.57 and 3,220.72 is: 4,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.84 : 10,755.57 = 3,220.72 : x
  2. Step 2: Convert to fraction form
    7,172.84/10,755.57 = 3,220.72/x
  3. Step 3: Cross multiply
    7,172.84x = 10,755.57 × 3,220.72
  4. Step 4: Simplify right side
    7,172.84x = 34,640,679.41
  5. Step 5: Solve for x
    x = 34,640,679.41/7,172.84
  6. Step 6: Final answer
    x = 4,829.42

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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.