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Finding the Fourth Proportional to 7,333.84, 10,120.57 and 4,147.09

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Solution

The fourth proportional to 7,333.84, 10,120.57 and 4,147.09 is: 5,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,333.84 : 10,120.57 = 4,147.09 : x
  2. Step 2: Convert to fraction form
    7,333.84/10,120.57 = 4,147.09/x
  3. Step 3: Cross multiply
    7,333.84x = 10,120.57 × 4,147.09
  4. Step 4: Simplify right side
    7,333.84x = 41,970,914.64
  5. Step 5: Solve for x
    x = 41,970,914.64/7,333.84
  6. Step 6: Final answer
    x = 5,722.91

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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.