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Finding the Fourth Proportional to 8,297.14, 11,461.66 and 5,777.99

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Solution

The fourth proportional to 8,297.14, 11,461.66 and 5,777.99 is: 7,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.14 : 11,461.66 = 5,777.99 : x
  2. Step 2: Convert to fraction form
    8,297.14/11,461.66 = 5,777.99/x
  3. Step 3: Cross multiply
    8,297.14x = 11,461.66 × 5,777.99
  4. Step 4: Simplify right side
    8,297.14x = 66,225,299.56
  5. Step 5: Solve for x
    x = 66,225,299.56/8,297.14
  6. Step 6: Final answer
    x = 7,981.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.