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Finding the Fourth Proportional to 8,223.12, 11,340 and 6,233.76

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Solution

The fourth proportional to 8,223.12, 11,340 and 6,233.76 is: 8,596.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.12 : 11,340 = 6,233.76 : x
  2. Step 2: Convert to fraction form
    8,223.12/11,340 = 6,233.76/x
  3. Step 3: Cross multiply
    8,223.12x = 11,340 × 6,233.76
  4. Step 4: Simplify right side
    8,223.12x = 70,690,838.40
  5. Step 5: Solve for x
    x = 70,690,838.40/8,223.12
  6. Step 6: Final answer
    x = 8,596.60

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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.