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Finding the Fourth Proportional to 7,790.92, 11,682.78 and 2,595.40

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Solution

The fourth proportional to 7,790.92, 11,682.78 and 2,595.40 is: 3,891.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.92 : 11,682.78 = 2,595.40 : x
  2. Step 2: Convert to fraction form
    7,790.92/11,682.78 = 2,595.40/x
  3. Step 3: Cross multiply
    7,790.92x = 11,682.78 × 2,595.40
  4. Step 4: Simplify right side
    7,790.92x = 30,321,487.21
  5. Step 5: Solve for x
    x = 30,321,487.21/7,790.92
  6. Step 6: Final answer
    x = 3,891.90

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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.