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Finding the Fourth Proportional to 11,500.14, 17,250.15 and 3,709.02

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Solution

The fourth proportional to 11,500.14, 17,250.15 and 3,709.02 is: 5,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.14 : 17,250.15 = 3,709.02 : x
  2. Step 2: Convert to fraction form
    11,500.14/17,250.15 = 3,709.02/x
  3. Step 3: Cross multiply
    11,500.14x = 17,250.15 × 3,709.02
  4. Step 4: Simplify right side
    11,500.14x = 63,981,151.35
  5. Step 5: Solve for x
    x = 63,981,151.35/11,500.14
  6. Step 6: Final answer
    x = 5,563.51

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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.