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Finding the Fourth Proportional to 8,337.34, 11,505.39 and 4,611.34

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Solution

The fourth proportional to 8,337.34, 11,505.39 and 4,611.34 is: 6,363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.34 : 11,505.39 = 4,611.34 : x
  2. Step 2: Convert to fraction form
    8,337.34/11,505.39 = 4,611.34/x
  3. Step 3: Cross multiply
    8,337.34x = 11,505.39 × 4,611.34
  4. Step 4: Simplify right side
    8,337.34x = 53,055,265.12
  5. Step 5: Solve for x
    x = 53,055,265.12/8,337.34
  6. Step 6: Final answer
    x = 6,363.57

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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.