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Finding the Fourth Proportional to 11,610.54, 16,022.61 and 6,894.72

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Solution

The fourth proportional to 11,610.54, 16,022.61 and 6,894.72 is: 9,514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.54 : 16,022.61 = 6,894.72 : x
  2. Step 2: Convert to fraction form
    11,610.54/16,022.61 = 6,894.72/x
  3. Step 3: Cross multiply
    11,610.54x = 16,022.61 × 6,894.72
  4. Step 4: Simplify right side
    11,610.54x = 110,471,409.62
  5. Step 5: Solve for x
    x = 110,471,409.62/11,610.54
  6. Step 6: Final answer
    x = 9,514.75

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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.