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Finding the Fourth Proportional to 8,297.24, 11,444.90 and 5,311.98

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Solution

The fourth proportional to 8,297.24, 11,444.90 and 5,311.98 is: 7,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.24 : 11,444.90 = 5,311.98 : x
  2. Step 2: Convert to fraction form
    8,297.24/11,444.90 = 5,311.98/x
  3. Step 3: Cross multiply
    8,297.24x = 11,444.90 × 5,311.98
  4. Step 4: Simplify right side
    8,297.24x = 60,795,053.34
  5. Step 5: Solve for x
    x = 60,795,053.34/8,297.24
  6. Step 6: Final answer
    x = 7,327.15

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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.