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Finding the Fourth Proportional to 7,767.29, 11,643.92 and 2,835.78

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Solution

The fourth proportional to 7,767.29, 11,643.92 and 2,835.78 is: 4,251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.29 : 11,643.92 = 2,835.78 : x
  2. Step 2: Convert to fraction form
    7,767.29/11,643.92 = 2,835.78/x
  3. Step 3: Cross multiply
    7,767.29x = 11,643.92 × 2,835.78
  4. Step 4: Simplify right side
    7,767.29x = 33,019,548.25
  5. Step 5: Solve for x
    x = 33,019,548.25/7,767.29
  6. Step 6: Final answer
    x = 4,251.10

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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.