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Finding the Fourth Proportional to 11,565.97, 15,961.25 and 6,789.33

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Solution

The fourth proportional to 11,565.97, 15,961.25 and 6,789.33 is: 9,369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.97 : 15,961.25 = 6,789.33 : x
  2. Step 2: Convert to fraction form
    11,565.97/15,961.25 = 6,789.33/x
  3. Step 3: Cross multiply
    11,565.97x = 15,961.25 × 6,789.33
  4. Step 4: Simplify right side
    11,565.97x = 108,366,193.46
  5. Step 5: Solve for x
    x = 108,366,193.46/11,565.97
  6. Step 6: Final answer
    x = 9,369.40

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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.