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Finding the Fourth Proportional to 8,364.56, 11,543.46 and 5,006.73

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Solution

The fourth proportional to 8,364.56, 11,543.46 and 5,006.73 is: 6,909.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.56 : 11,543.46 = 5,006.73 : x
  2. Step 2: Convert to fraction form
    8,364.56/11,543.46 = 5,006.73/x
  3. Step 3: Cross multiply
    8,364.56x = 11,543.46 × 5,006.73
  4. Step 4: Simplify right side
    8,364.56x = 57,794,987.49
  5. Step 5: Solve for x
    x = 57,794,987.49/8,364.56
  6. Step 6: Final answer
    x = 6,909.51

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