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Finding the Fourth Proportional to 7,863.77, 11,790.18 and 3,478.83

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Solution

The fourth proportional to 7,863.77, 11,790.18 and 3,478.83 is: 5,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.77 : 11,790.18 = 3,478.83 : x
  2. Step 2: Convert to fraction form
    7,863.77/11,790.18 = 3,478.83/x
  3. Step 3: Cross multiply
    7,863.77x = 11,790.18 × 3,478.83
  4. Step 4: Simplify right side
    7,863.77x = 41,016,031.89
  5. Step 5: Solve for x
    x = 41,016,031.89/7,863.77
  6. Step 6: Final answer
    x = 5,215.83

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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.