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Finding the Fourth Proportional to 6,311.22, 8,711.06 and 3,660.23

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Solution

The fourth proportional to 6,311.22, 8,711.06 and 3,660.23 is: 5,052.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.22 : 8,711.06 = 3,660.23 : x
  2. Step 2: Convert to fraction form
    6,311.22/8,711.06 = 3,660.23/x
  3. Step 3: Cross multiply
    6,311.22x = 8,711.06 × 3,660.23
  4. Step 4: Simplify right side
    6,311.22x = 31,884,421.29
  5. Step 5: Solve for x
    x = 31,884,421.29/6,311.22
  6. Step 6: Final answer
    x = 5,052.02

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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.