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Finding the Fourth Proportional to 11,825.65, 17,721.78 and 6,562.99

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Solution

The fourth proportional to 11,825.65, 17,721.78 and 6,562.99 is: 9,835.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.65 : 17,721.78 = 6,562.99 : x
  2. Step 2: Convert to fraction form
    11,825.65/17,721.78 = 6,562.99/x
  3. Step 3: Cross multiply
    11,825.65x = 17,721.78 × 6,562.99
  4. Step 4: Simplify right side
    11,825.65x = 116,307,864.92
  5. Step 5: Solve for x
    x = 116,307,864.92/11,825.65
  6. Step 6: Final answer
    x = 9,835.22

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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.