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Finding the Fourth Proportional to 10,151.82, 15,232.05 and 5,704.11

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Solution

The fourth proportional to 10,151.82, 15,232.05 and 5,704.11 is: 8,558.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.82 : 15,232.05 = 5,704.11 : x
  2. Step 2: Convert to fraction form
    10,151.82/15,232.05 = 5,704.11/x
  3. Step 3: Cross multiply
    10,151.82x = 15,232.05 × 5,704.11
  4. Step 4: Simplify right side
    10,151.82x = 86,885,288.73
  5. Step 5: Solve for x
    x = 86,885,288.73/10,151.82
  6. Step 6: Final answer
    x = 8,558.59

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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.