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Finding the Fourth Proportional to 11,610.86, 16,023.26 and 6,305.67

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Solution

The fourth proportional to 11,610.86, 16,023.26 and 6,305.67 is: 8,701.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.86 : 16,023.26 = 6,305.67 : x
  2. Step 2: Convert to fraction form
    11,610.86/16,023.26 = 6,305.67/x
  3. Step 3: Cross multiply
    11,610.86x = 16,023.26 × 6,305.67
  4. Step 4: Simplify right side
    11,610.86x = 101,037,405.65
  5. Step 5: Solve for x
    x = 101,037,405.65/11,610.86
  6. Step 6: Final answer
    x = 8,701.98

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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.