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Finding the Fourth Proportional to 7,608.94, 11,415.23 and 2,414.81

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Solution

The fourth proportional to 7,608.94, 11,415.23 and 2,414.81 is: 3,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.94 : 11,415.23 = 2,414.81 : x
  2. Step 2: Convert to fraction form
    7,608.94/11,415.23 = 2,414.81/x
  3. Step 3: Cross multiply
    7,608.94x = 11,415.23 × 2,414.81
  4. Step 4: Simplify right side
    7,608.94x = 27,565,637.08
  5. Step 5: Solve for x
    x = 27,565,637.08/7,608.94
  6. Step 6: Final answer
    x = 3,622.80

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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.