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Finding the Fourth Proportional to 6,206.24, 8,552.82 and 6,092.40

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Solution

The fourth proportional to 6,206.24, 8,552.82 and 6,092.40 is: 8,395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.24 : 8,552.82 = 6,092.40 : x
  2. Step 2: Convert to fraction form
    6,206.24/8,552.82 = 6,092.40/x
  3. Step 3: Cross multiply
    6,206.24x = 8,552.82 × 6,092.40
  4. Step 4: Simplify right side
    6,206.24x = 52,107,200.57
  5. Step 5: Solve for x
    x = 52,107,200.57/6,206.24
  6. Step 6: Final answer
    x = 8,395.94

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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.