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Finding the Fourth Proportional to 7,108.53, 10,667.41 and 3,212.97

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Solution

The fourth proportional to 7,108.53, 10,667.41 and 3,212.97 is: 4,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.53 : 10,667.41 = 3,212.97 : x
  2. Step 2: Convert to fraction form
    7,108.53/10,667.41 = 3,212.97/x
  3. Step 3: Cross multiply
    7,108.53x = 10,667.41 × 3,212.97
  4. Step 4: Simplify right side
    7,108.53x = 34,274,068.31
  5. Step 5: Solve for x
    x = 34,274,068.31/7,108.53
  6. Step 6: Final answer
    x = 4,821.54

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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.