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Finding the Fourth Proportional to 7,538.82, 11,297.04 and 7,117.56

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Solution

The fourth proportional to 7,538.82, 11,297.04 and 7,117.56 is: 10,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.82 : 11,297.04 = 7,117.56 : x
  2. Step 2: Convert to fraction form
    7,538.82/11,297.04 = 7,117.56/x
  3. Step 3: Cross multiply
    7,538.82x = 11,297.04 × 7,117.56
  4. Step 4: Simplify right side
    7,538.82x = 80,407,360.02
  5. Step 5: Solve for x
    x = 80,407,360.02/7,538.82
  6. Step 6: Final answer
    x = 10,665.78

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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.