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Finding the Fourth Proportional to 8,003.16, 11,049.66 and 5,213.40

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Solution

The fourth proportional to 8,003.16, 11,049.66 and 5,213.40 is: 7,197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.16 : 11,049.66 = 5,213.40 : x
  2. Step 2: Convert to fraction form
    8,003.16/11,049.66 = 5,213.40/x
  3. Step 3: Cross multiply
    8,003.16x = 11,049.66 × 5,213.40
  4. Step 4: Simplify right side
    8,003.16x = 57,606,297.44
  5. Step 5: Solve for x
    x = 57,606,297.44/8,003.16
  6. Step 6: Final answer
    x = 7,197.94

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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.