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Finding the Fourth Proportional to 10,633.62, 15,952.82 and 3,238.67

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Solution

The fourth proportional to 10,633.62, 15,952.82 and 3,238.67 is: 4,858.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.62 : 15,952.82 = 3,238.67 : x
  2. Step 2: Convert to fraction form
    10,633.62/15,952.82 = 3,238.67/x
  3. Step 3: Cross multiply
    10,633.62x = 15,952.82 × 3,238.67
  4. Step 4: Simplify right side
    10,633.62x = 51,665,823.59
  5. Step 5: Solve for x
    x = 51,665,823.59/10,633.62
  6. Step 6: Final answer
    x = 4,858.72

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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.