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Finding the Fourth Proportional to 7,449.96, 11,176.80 and 2,255.85

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Solution

The fourth proportional to 7,449.96, 11,176.80 and 2,255.85 is: 3,384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.96 : 11,176.80 = 2,255.85 : x
  2. Step 2: Convert to fraction form
    7,449.96/11,176.80 = 2,255.85/x
  3. Step 3: Cross multiply
    7,449.96x = 11,176.80 × 2,255.85
  4. Step 4: Simplify right side
    7,449.96x = 25,213,184.28
  5. Step 5: Solve for x
    x = 25,213,184.28/7,449.96
  6. Step 6: Final answer
    x = 3,384.34

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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.