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Finding the Fourth Proportional to 7,600.13, 11,400.11 and 2,406

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Solution

The fourth proportional to 7,600.13, 11,400.11 and 2,406 is: 3,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.13 : 11,400.11 = 2,406 : x
  2. Step 2: Convert to fraction form
    7,600.13/11,400.11 = 2,406/x
  3. Step 3: Cross multiply
    7,600.13x = 11,400.11 × 2,406
  4. Step 4: Simplify right side
    7,600.13x = 27,428,664.66
  5. Step 5: Solve for x
    x = 27,428,664.66/7,600.13
  6. Step 6: Final answer
    x = 3,608.97

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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.