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Finding the Fourth Proportional to 7,735.71, 11,603.55 and 2,805.33

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Solution

The fourth proportional to 7,735.71, 11,603.55 and 2,805.33 is: 4,207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.71 : 11,603.55 = 2,805.33 : x
  2. Step 2: Convert to fraction form
    7,735.71/11,603.55 = 2,805.33/x
  3. Step 3: Cross multiply
    7,735.71x = 11,603.55 × 2,805.33
  4. Step 4: Simplify right side
    7,735.71x = 32,551,786.92
  5. Step 5: Solve for x
    x = 32,551,786.92/7,735.71
  6. Step 6: Final answer
    x = 4,207.99

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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.