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Finding the Fourth Proportional to 8,203.12, 11,325.75 and 6,311.36

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Solution

The fourth proportional to 8,203.12, 11,325.75 and 6,311.36 is: 8,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.12 : 11,325.75 = 6,311.36 : x
  2. Step 2: Convert to fraction form
    8,203.12/11,325.75 = 6,311.36/x
  3. Step 3: Cross multiply
    8,203.12x = 11,325.75 × 6,311.36
  4. Step 4: Simplify right side
    8,203.12x = 71,480,913.83
  5. Step 5: Solve for x
    x = 71,480,913.83/8,203.12
  6. Step 6: Final answer
    x = 8,713.87

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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.