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Finding the Fourth Proportional to 7,901.74, 11,850.09 and 3,221.74

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Solution

The fourth proportional to 7,901.74, 11,850.09 and 3,221.74 is: 4,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.74 : 11,850.09 = 3,221.74 : x
  2. Step 2: Convert to fraction form
    7,901.74/11,850.09 = 3,221.74/x
  3. Step 3: Cross multiply
    7,901.74x = 11,850.09 × 3,221.74
  4. Step 4: Simplify right side
    7,901.74x = 38,177,908.96
  5. Step 5: Solve for x
    x = 38,177,908.96/7,901.74
  6. Step 6: Final answer
    x = 4,831.58

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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.