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Finding the Fourth Proportional to 11,826.96, 16,321.29 and 6,521.94

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Solution

The fourth proportional to 11,826.96, 16,321.29 and 6,521.94 is: 9,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.96 : 16,321.29 = 6,521.94 : x
  2. Step 2: Convert to fraction form
    11,826.96/16,321.29 = 6,521.94/x
  3. Step 3: Cross multiply
    11,826.96x = 16,321.29 × 6,521.94
  4. Step 4: Simplify right side
    11,826.96x = 106,446,474.10
  5. Step 5: Solve for x
    x = 106,446,474.10/11,826.96
  6. Step 6: Final answer
    x = 9,000.32

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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.