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Finding the Fourth Proportional to 8,218.75, 11,342.28 and 4,682.29

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Solution

The fourth proportional to 8,218.75, 11,342.28 and 4,682.29 is: 6,461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.75 : 11,342.28 = 4,682.29 : x
  2. Step 2: Convert to fraction form
    8,218.75/11,342.28 = 4,682.29/x
  3. Step 3: Cross multiply
    8,218.75x = 11,342.28 × 4,682.29
  4. Step 4: Simplify right side
    8,218.75x = 53,107,844.22
  5. Step 5: Solve for x
    x = 53,107,844.22/8,218.75
  6. Step 6: Final answer
    x = 6,461.79

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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.