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Finding the Fourth Proportional to 11,349.75, 15,663.96 and 6,633.75

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Solution

The fourth proportional to 11,349.75, 15,663.96 and 6,633.75 is: 9,155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349.75 : 15,663.96 = 6,633.75 : x
  2. Step 2: Convert to fraction form
    11,349.75/15,663.96 = 6,633.75/x
  3. Step 3: Cross multiply
    11,349.75x = 15,663.96 × 6,633.75
  4. Step 4: Simplify right side
    11,349.75x = 103,910,794.65
  5. Step 5: Solve for x
    x = 103,910,794.65/11,349.75
  6. Step 6: Final answer
    x = 9,155.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.