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Finding the Fourth Proportional to 8,230.24, 11,347.32 and 5,990.32

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Solution

The fourth proportional to 8,230.24, 11,347.32 and 5,990.32 is: 8,259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.24 : 11,347.32 = 5,990.32 : x
  2. Step 2: Convert to fraction form
    8,230.24/11,347.32 = 5,990.32/x
  3. Step 3: Cross multiply
    8,230.24x = 11,347.32 × 5,990.32
  4. Step 4: Simplify right side
    8,230.24x = 67,974,077.94
  5. Step 5: Solve for x
    x = 67,974,077.94/8,230.24
  6. Step 6: Final answer
    x = 8,259.06

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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.