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Finding the Fourth Proportional to 7,906.41, 11,854.76 and 3,222.59

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Solution

The fourth proportional to 7,906.41, 11,854.76 and 3,222.59 is: 4,831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.41 : 11,854.76 = 3,222.59 : x
  2. Step 2: Convert to fraction form
    7,906.41/11,854.76 = 3,222.59/x
  3. Step 3: Cross multiply
    7,906.41x = 11,854.76 × 3,222.59
  4. Step 4: Simplify right side
    7,906.41x = 38,202,955.64
  5. Step 5: Solve for x
    x = 38,202,955.64/7,906.41
  6. Step 6: Final answer
    x = 4,831.90

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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.