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Finding the Fourth Proportional to 7,201.30, 10,801.93 and 2,007.17

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Solution

The fourth proportional to 7,201.30, 10,801.93 and 2,007.17 is: 3,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.30 : 10,801.93 = 2,007.17 : x
  2. Step 2: Convert to fraction form
    7,201.30/10,801.93 = 2,007.17/x
  3. Step 3: Cross multiply
    7,201.30x = 10,801.93 × 2,007.17
  4. Step 4: Simplify right side
    7,201.30x = 21,681,325.46
  5. Step 5: Solve for x
    x = 21,681,325.46/7,201.30
  6. Step 6: Final answer
    x = 3,010.75

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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.