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Finding the Fourth Proportional to 11,533.42, 17,299.68 and 3,742

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Solution

The fourth proportional to 11,533.42, 17,299.68 and 3,742 is: 5,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.42 : 17,299.68 = 3,742 : x
  2. Step 2: Convert to fraction form
    11,533.42/17,299.68 = 3,742/x
  3. Step 3: Cross multiply
    11,533.42x = 17,299.68 × 3,742
  4. Step 4: Simplify right side
    11,533.42x = 64,735,402.56
  5. Step 5: Solve for x
    x = 64,735,402.56/11,533.42
  6. Step 6: Final answer
    x = 5,612.85

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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.