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Finding the Fourth Proportional to 11,610.78, 16,022.95 and 6,305.60

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Solution

The fourth proportional to 11,610.78, 16,022.95 and 6,305.60 is: 8,701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.78 : 16,022.95 = 6,305.60 : x
  2. Step 2: Convert to fraction form
    11,610.78/16,022.95 = 6,305.60/x
  3. Step 3: Cross multiply
    11,610.78x = 16,022.95 × 6,305.60
  4. Step 4: Simplify right side
    11,610.78x = 101,034,277.73
  5. Step 5: Solve for x
    x = 101,034,277.73/11,610.78
  6. Step 6: Final answer
    x = 8,701.76

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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.