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Finding the Fourth Proportional to 11,765.88, 16,231.24 and 6,795

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Solution

The fourth proportional to 11,765.88, 16,231.24 and 6,795 is: 9,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.88 : 16,231.24 = 6,795 : x
  2. Step 2: Convert to fraction form
    11,765.88/16,231.24 = 6,795/x
  3. Step 3: Cross multiply
    11,765.88x = 16,231.24 × 6,795
  4. Step 4: Simplify right side
    11,765.88x = 110,291,275.80
  5. Step 5: Solve for x
    x = 110,291,275.80/11,765.88
  6. Step 6: Final answer
    x = 9,373.82

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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.