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Finding the Fourth Proportional to 11,826.95, 16,321.31 and 6,521.96

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Solution

The fourth proportional to 11,826.95, 16,321.31 and 6,521.96 is: 9,000.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.95 : 16,321.31 = 6,521.96 : x
  2. Step 2: Convert to fraction form
    11,826.95/16,321.31 = 6,521.96/x
  3. Step 3: Cross multiply
    11,826.95x = 16,321.31 × 6,521.96
  4. Step 4: Simplify right side
    11,826.95x = 106,446,816.75
  5. Step 5: Solve for x
    x = 106,446,816.75/11,826.95
  6. Step 6: Final answer
    x = 9,000.36

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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.