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Finding the Fourth Proportional to 8,077.93, 12,122.97 and 3,698.46

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Solution

The fourth proportional to 8,077.93, 12,122.97 and 3,698.46 is: 5,550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.93 : 12,122.97 = 3,698.46 : x
  2. Step 2: Convert to fraction form
    8,077.93/12,122.97 = 3,698.46/x
  3. Step 3: Cross multiply
    8,077.93x = 12,122.97 × 3,698.46
  4. Step 4: Simplify right side
    8,077.93x = 44,836,305.76
  5. Step 5: Solve for x
    x = 44,836,305.76/8,077.93
  6. Step 6: Final answer
    x = 5,550.47

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