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Finding the Fourth Proportional to 10,823.73, 16,240.73 and 7,497.09

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Solution

The fourth proportional to 10,823.73, 16,240.73 and 7,497.09 is: 11,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.73 : 16,240.73 = 7,497.09 : x
  2. Step 2: Convert to fraction form
    10,823.73/16,240.73 = 7,497.09/x
  3. Step 3: Cross multiply
    10,823.73x = 16,240.73 × 7,497.09
  4. Step 4: Simplify right side
    10,823.73x = 121,758,176.99
  5. Step 5: Solve for x
    x = 121,758,176.99/10,823.73
  6. Step 6: Final answer
    x = 11,249.19

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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.