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Finding the Fourth Proportional to 7,633.69, 11,451.78 and 2,702.26

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Solution

The fourth proportional to 7,633.69, 11,451.78 and 2,702.26 is: 4,053.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.69 : 11,451.78 = 2,702.26 : x
  2. Step 2: Convert to fraction form
    7,633.69/11,451.78 = 2,702.26/x
  3. Step 3: Cross multiply
    7,633.69x = 11,451.78 × 2,702.26
  4. Step 4: Simplify right side
    7,633.69x = 30,945,701.34
  5. Step 5: Solve for x
    x = 30,945,701.34/7,633.69
  6. Step 6: Final answer
    x = 4,053.83

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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.