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Finding the Fourth Proportional to 11,826.86, 16,321.17 and 6,521.86

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Solution

The fourth proportional to 11,826.86, 16,321.17 and 6,521.86 is: 9,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.86 : 16,321.17 = 6,521.86 : x
  2. Step 2: Convert to fraction form
    11,826.86/16,321.17 = 6,521.86/x
  3. Step 3: Cross multiply
    11,826.86x = 16,321.17 × 6,521.86
  4. Step 4: Simplify right side
    11,826.86x = 106,444,385.78
  5. Step 5: Solve for x
    x = 106,444,385.78/11,826.86
  6. Step 6: Final answer
    x = 9,000.22

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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.