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Finding the Fourth Proportional to 8,231.16, 11,360.62 and 6,238.24

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Solution

The fourth proportional to 8,231.16, 11,360.62 and 6,238.24 is: 8,610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.16 : 11,360.62 = 6,238.24 : x
  2. Step 2: Convert to fraction form
    8,231.16/11,360.62 = 6,238.24/x
  3. Step 3: Cross multiply
    8,231.16x = 11,360.62 × 6,238.24
  4. Step 4: Simplify right side
    8,231.16x = 70,870,274.11
  5. Step 5: Solve for x
    x = 70,870,274.11/8,231.16
  6. Step 6: Final answer
    x = 8,610.00

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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.