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Finding the Fourth Proportional to 11,610.86, 16,023.14 and 6,305.66

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Solution

The fourth proportional to 11,610.86, 16,023.14 and 6,305.66 is: 8,701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.86 : 16,023.14 = 6,305.66 : x
  2. Step 2: Convert to fraction form
    11,610.86/16,023.14 = 6,305.66/x
  3. Step 3: Cross multiply
    11,610.86x = 16,023.14 × 6,305.66
  4. Step 4: Simplify right side
    11,610.86x = 101,036,472.97
  5. Step 5: Solve for x
    x = 101,036,472.97/11,610.86
  6. Step 6: Final answer
    x = 8,701.89

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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.