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Finding the Fourth Proportional to 10,220.52, 15,332.94 and 3,294.84

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Solution

The fourth proportional to 10,220.52, 15,332.94 and 3,294.84 is: 4,942.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.52 : 15,332.94 = 3,294.84 : x
  2. Step 2: Convert to fraction form
    10,220.52/15,332.94 = 3,294.84/x
  3. Step 3: Cross multiply
    10,220.52x = 15,332.94 × 3,294.84
  4. Step 4: Simplify right side
    10,220.52x = 50,519,584.03
  5. Step 5: Solve for x
    x = 50,519,584.03/10,220.52
  6. Step 6: Final answer
    x = 4,942.96

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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.