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Finding the Fourth Proportional to 7,963.71, 11,954.80 and 4,273.15

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Solution

The fourth proportional to 7,963.71, 11,954.80 and 4,273.15 is: 6,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.71 : 11,954.80 = 4,273.15 : x
  2. Step 2: Convert to fraction form
    7,963.71/11,954.80 = 4,273.15/x
  3. Step 3: Cross multiply
    7,963.71x = 11,954.80 × 4,273.15
  4. Step 4: Simplify right side
    7,963.71x = 51,084,617.31
  5. Step 5: Solve for x
    x = 51,084,617.31/7,963.71
  6. Step 6: Final answer
    x = 6,414.67

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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.