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Finding the Fourth Proportional to 7,201.13, 10,801.82 and 2,007.14

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Solution

The fourth proportional to 7,201.13, 10,801.82 and 2,007.14 is: 3,010.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.13 : 10,801.82 = 2,007.14 : x
  2. Step 2: Convert to fraction form
    7,201.13/10,801.82 = 2,007.14/x
  3. Step 3: Cross multiply
    7,201.13x = 10,801.82 × 2,007.14
  4. Step 4: Simplify right side
    7,201.13x = 21,680,716.00
  5. Step 5: Solve for x
    x = 21,680,716.00/7,201.13
  6. Step 6: Final answer
    x = 3,010.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.