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Finding the Fourth Proportional to 11,812.23, 17,717.94 and 5,569.97

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Solution

The fourth proportional to 11,812.23, 17,717.94 and 5,569.97 is: 8,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.23 : 17,717.94 = 5,569.97 : x
  2. Step 2: Convert to fraction form
    11,812.23/17,717.94 = 5,569.97/x
  3. Step 3: Cross multiply
    11,812.23x = 17,717.94 × 5,569.97
  4. Step 4: Simplify right side
    11,812.23x = 98,688,305.67
  5. Step 5: Solve for x
    x = 98,688,305.67/11,812.23
  6. Step 6: Final answer
    x = 8,354.76

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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.