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Finding the Fourth Proportional to 7,633.69, 10,535.11 and 4,277.26

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Solution

The fourth proportional to 7,633.69, 10,535.11 and 4,277.26 is: 5,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.69 : 10,535.11 = 4,277.26 : x
  2. Step 2: Convert to fraction form
    7,633.69/10,535.11 = 4,277.26/x
  3. Step 3: Cross multiply
    7,633.69x = 10,535.11 × 4,277.26
  4. Step 4: Simplify right side
    7,633.69x = 45,061,371.87
  5. Step 5: Solve for x
    x = 45,061,371.87/7,633.69
  6. Step 6: Final answer
    x = 5,902.96

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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.