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Finding the Fourth Proportional to 7,863.23, 11,780.94 and 4,157.24

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Solution

The fourth proportional to 7,863.23, 11,780.94 and 4,157.24 is: 6,228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.23 : 11,780.94 = 4,157.24 : x
  2. Step 2: Convert to fraction form
    7,863.23/11,780.94 = 4,157.24/x
  3. Step 3: Cross multiply
    7,863.23x = 11,780.94 × 4,157.24
  4. Step 4: Simplify right side
    7,863.23x = 48,976,195.01
  5. Step 5: Solve for x
    x = 48,976,195.01/7,863.23
  6. Step 6: Final answer
    x = 6,228.51

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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.