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Finding the Fourth Proportional to 8,355.24, 11,524.10 and 5,999.80

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Solution

The fourth proportional to 8,355.24, 11,524.10 and 5,999.80 is: 8,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.24 : 11,524.10 = 5,999.80 : x
  2. Step 2: Convert to fraction form
    8,355.24/11,524.10 = 5,999.80/x
  3. Step 3: Cross multiply
    8,355.24x = 11,524.10 × 5,999.80
  4. Step 4: Simplify right side
    8,355.24x = 69,142,295.18
  5. Step 5: Solve for x
    x = 69,142,295.18/8,355.24
  6. Step 6: Final answer
    x = 8,275.32

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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.