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Finding the Fourth Proportional to 8,215.75, 11,331.12 and 5,230.63

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Solution

The fourth proportional to 8,215.75, 11,331.12 and 5,230.63 is: 7,214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.75 : 11,331.12 = 5,230.63 : x
  2. Step 2: Convert to fraction form
    8,215.75/11,331.12 = 5,230.63/x
  3. Step 3: Cross multiply
    8,215.75x = 11,331.12 × 5,230.63
  4. Step 4: Simplify right side
    8,215.75x = 59,268,896.21
  5. Step 5: Solve for x
    x = 59,268,896.21/8,215.75
  6. Step 6: Final answer
    x = 7,214.06

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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.