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Finding the Fourth Proportional to 7,861.12, 11,793.12 and 2,596.48

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Solution

The fourth proportional to 7,861.12, 11,793.12 and 2,596.48 is: 3,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.12 : 11,793.12 = 2,596.48 : x
  2. Step 2: Convert to fraction form
    7,861.12/11,793.12 = 2,596.48/x
  3. Step 3: Cross multiply
    7,861.12x = 11,793.12 × 2,596.48
  4. Step 4: Simplify right side
    7,861.12x = 30,620,641.94
  5. Step 5: Solve for x
    x = 30,620,641.94/7,861.12
  6. Step 6: Final answer
    x = 3,895.20

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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.