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Finding the Fourth Proportional to 11,533.97, 17,287.50 and 5,294.63

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Solution

The fourth proportional to 11,533.97, 17,287.50 and 5,294.63 is: 7,935.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.97 : 17,287.50 = 5,294.63 : x
  2. Step 2: Convert to fraction form
    11,533.97/17,287.50 = 5,294.63/x
  3. Step 3: Cross multiply
    11,533.97x = 17,287.50 × 5,294.63
  4. Step 4: Simplify right side
    11,533.97x = 91,530,829.69
  5. Step 5: Solve for x
    x = 91,530,829.69/11,533.97
  6. Step 6: Final answer
    x = 7,935.76

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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.