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Finding the Fourth Proportional to 8,223.24, 11,347.62 and 4,497

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Solution

The fourth proportional to 8,223.24, 11,347.62 and 4,497 is: 6,205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.24 : 11,347.62 = 4,497 : x
  2. Step 2: Convert to fraction form
    8,223.24/11,347.62 = 4,497/x
  3. Step 3: Cross multiply
    8,223.24x = 11,347.62 × 4,497
  4. Step 4: Simplify right side
    8,223.24x = 51,030,247.14
  5. Step 5: Solve for x
    x = 51,030,247.14/8,223.24
  6. Step 6: Final answer
    x = 6,205.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.