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Finding the Fourth Proportional to 7,863.12, 11,801.97 and 3,970.26

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Solution

The fourth proportional to 7,863.12, 11,801.97 and 3,970.26 is: 5,959.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.12 : 11,801.97 = 3,970.26 : x
  2. Step 2: Convert to fraction form
    7,863.12/11,801.97 = 3,970.26/x
  3. Step 3: Cross multiply
    7,863.12x = 11,801.97 × 3,970.26
  4. Step 4: Simplify right side
    7,863.12x = 46,856,889.41
  5. Step 5: Solve for x
    x = 46,856,889.41/7,863.12
  6. Step 6: Final answer
    x = 5,959.07

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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.