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Finding the Fourth Proportional to 11,342.00, 17,011.64 and 3,022.62

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Solution

The fourth proportional to 11,342.00, 17,011.64 and 3,022.62 is: 4,533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.00 : 17,011.64 = 3,022.62 : x
  2. Step 2: Convert to fraction form
    11,342.00/17,011.64 = 3,022.62/x
  3. Step 3: Cross multiply
    11,342.00x = 17,011.64 × 3,022.62
  4. Step 4: Simplify right side
    11,342.00x = 51,419,708.18
  5. Step 5: Solve for x
    x = 51,419,708.18/11,342.00
  6. Step 6: Final answer
    x = 4,533.57

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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.