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Finding the Fourth Proportional to 8,163.17, 11,271.51 and 6,271.74

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Solution

The fourth proportional to 8,163.17, 11,271.51 and 6,271.74 is: 8,659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.17 : 11,271.51 = 6,271.74 : x
  2. Step 2: Convert to fraction form
    8,163.17/11,271.51 = 6,271.74/x
  3. Step 3: Cross multiply
    8,163.17x = 11,271.51 × 6,271.74
  4. Step 4: Simplify right side
    8,163.17x = 70,691,980.13
  5. Step 5: Solve for x
    x = 70,691,980.13/8,163.17
  6. Step 6: Final answer
    x = 8,659.87

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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.