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Finding the Fourth Proportional to 11,507.52, 17,257.02 and 4,110

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Solution

The fourth proportional to 11,507.52, 17,257.02 and 4,110 is: 6,163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.52 : 17,257.02 = 4,110 : x
  2. Step 2: Convert to fraction form
    11,507.52/17,257.02 = 4,110/x
  3. Step 3: Cross multiply
    11,507.52x = 17,257.02 × 4,110
  4. Step 4: Simplify right side
    11,507.52x = 70,926,352.20
  5. Step 5: Solve for x
    x = 70,926,352.20/11,507.52
  6. Step 6: Final answer
    x = 6,163.48

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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.