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Finding the Fourth Proportional to 7,940.68, 11,886.34 and 5,863

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Solution

The fourth proportional to 7,940.68, 11,886.34 and 5,863 is: 8,776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.68 : 11,886.34 = 5,863 : x
  2. Step 2: Convert to fraction form
    7,940.68/11,886.34 = 5,863/x
  3. Step 3: Cross multiply
    7,940.68x = 11,886.34 × 5,863
  4. Step 4: Simplify right side
    7,940.68x = 69,689,611.42
  5. Step 5: Solve for x
    x = 69,689,611.42/7,940.68
  6. Step 6: Final answer
    x = 8,776.28

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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.