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Finding the Fourth Proportional to 11,216.73, 16,803.19 and 6,823.29

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Solution

The fourth proportional to 11,216.73, 16,803.19 and 6,823.29 is: 10,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.73 : 16,803.19 = 6,823.29 : x
  2. Step 2: Convert to fraction form
    11,216.73/16,803.19 = 6,823.29/x
  3. Step 3: Cross multiply
    11,216.73x = 16,803.19 × 6,823.29
  4. Step 4: Simplify right side
    11,216.73x = 114,653,038.30
  5. Step 5: Solve for x
    x = 114,653,038.30/11,216.73
  6. Step 6: Final answer
    x = 10,221.61

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Why These Related Problems?

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