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Finding the Fourth Proportional to 11,782.12, 16,259.69 and 6,747.97

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Solution

The fourth proportional to 11,782.12, 16,259.69 and 6,747.97 is: 9,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.12 : 16,259.69 = 6,747.97 : x
  2. Step 2: Convert to fraction form
    11,782.12/16,259.69 = 6,747.97/x
  3. Step 3: Cross multiply
    11,782.12x = 16,259.69 × 6,747.97
  4. Step 4: Simplify right side
    11,782.12x = 109,719,900.33
  5. Step 5: Solve for x
    x = 109,719,900.33/11,782.12
  6. Step 6: Final answer
    x = 9,312.41

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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.