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Finding the Fourth Proportional to 7,201.39, 10,802.16 and 2,007.27

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Solution

The fourth proportional to 7,201.39, 10,802.16 and 2,007.27 is: 3,010.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.39 : 10,802.16 = 2,007.27 : x
  2. Step 2: Convert to fraction form
    7,201.39/10,802.16 = 2,007.27/x
  3. Step 3: Cross multiply
    7,201.39x = 10,802.16 × 2,007.27
  4. Step 4: Simplify right side
    7,201.39x = 21,682,851.70
  5. Step 5: Solve for x
    x = 21,682,851.70/7,201.39
  6. Step 6: Final answer
    x = 3,010.93

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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.