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Finding the Fourth Proportional to 7,735.68, 11,603.43 and 2,805.21

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Solution

The fourth proportional to 7,735.68, 11,603.43 and 2,805.21 is: 4,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.68 : 11,603.43 = 2,805.21 : x
  2. Step 2: Convert to fraction form
    7,735.68/11,603.43 = 2,805.21/x
  3. Step 3: Cross multiply
    7,735.68x = 11,603.43 × 2,805.21
  4. Step 4: Simplify right side
    7,735.68x = 32,550,057.87
  5. Step 5: Solve for x
    x = 32,550,057.87/7,735.68
  6. Step 6: Final answer
    x = 4,207.78

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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.