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Finding the Fourth Proportional to 7,657.42, 11,493.33 and 3,764.62

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Solution

The fourth proportional to 7,657.42, 11,493.33 and 3,764.62 is: 5,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.42 : 11,493.33 = 3,764.62 : x
  2. Step 2: Convert to fraction form
    7,657.42/11,493.33 = 3,764.62/x
  3. Step 3: Cross multiply
    7,657.42x = 11,493.33 × 3,764.62
  4. Step 4: Simplify right side
    7,657.42x = 43,268,019.98
  5. Step 5: Solve for x
    x = 43,268,019.98/7,657.42
  6. Step 6: Final answer
    x = 5,650.47

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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.