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Finding the Fourth Proportional to 10,911.83, 16,337.24 and 5,896.24

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Solution

The fourth proportional to 10,911.83, 16,337.24 and 5,896.24 is: 8,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.83 : 16,337.24 = 5,896.24 : x
  2. Step 2: Convert to fraction form
    10,911.83/16,337.24 = 5,896.24/x
  3. Step 3: Cross multiply
    10,911.83x = 16,337.24 × 5,896.24
  4. Step 4: Simplify right side
    10,911.83x = 96,328,239.76
  5. Step 5: Solve for x
    x = 96,328,239.76/10,911.83
  6. Step 6: Final answer
    x = 8,827.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.