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Finding the Fourth Proportional to 7,863.11, 11,797.50 and 3,964.58

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Solution

The fourth proportional to 7,863.11, 11,797.50 and 3,964.58 is: 5,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.11 : 11,797.50 = 3,964.58 : x
  2. Step 2: Convert to fraction form
    7,863.11/11,797.50 = 3,964.58/x
  3. Step 3: Cross multiply
    7,863.11x = 11,797.50 × 3,964.58
  4. Step 4: Simplify right side
    7,863.11x = 46,772,053.74
  5. Step 5: Solve for x
    x = 46,772,053.74/7,863.11
  6. Step 6: Final answer
    x = 5,948.29

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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.