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Finding the Fourth Proportional to 8,414, 11,611.56 and 4,688.24

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Solution

The fourth proportional to 8,414, 11,611.56 and 4,688.24 is: 6,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414 : 11,611.56 = 4,688.24 : x
  2. Step 2: Convert to fraction form
    8,414/11,611.56 = 4,688.24/x
  3. Step 3: Cross multiply
    8,414x = 11,611.56 × 4,688.24
  4. Step 4: Simplify right side
    8,414x = 54,437,780.05
  5. Step 5: Solve for x
    x = 54,437,780.05/8,414
  6. Step 6: Final answer
    x = 6,469.90

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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.