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Finding the Fourth Proportional to 8,146.24, 11,246.87 and 6,254.22

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Solution

The fourth proportional to 8,146.24, 11,246.87 and 6,254.22 is: 8,634.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.24 : 11,246.87 = 6,254.22 : x
  2. Step 2: Convert to fraction form
    8,146.24/11,246.87 = 6,254.22/x
  3. Step 3: Cross multiply
    8,146.24x = 11,246.87 × 6,254.22
  4. Step 4: Simplify right side
    8,146.24x = 70,340,399.29
  5. Step 5: Solve for x
    x = 70,340,399.29/8,146.24
  6. Step 6: Final answer
    x = 8,634.71

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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.