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Finding the Fourth Proportional to 8,102.82, 11,181.94 and 4,566.10

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Solution

The fourth proportional to 8,102.82, 11,181.94 and 4,566.10 is: 6,301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.82 : 11,181.94 = 4,566.10 : x
  2. Step 2: Convert to fraction form
    8,102.82/11,181.94 = 4,566.10/x
  3. Step 3: Cross multiply
    8,102.82x = 11,181.94 × 4,566.10
  4. Step 4: Simplify right side
    8,102.82x = 51,057,856.23
  5. Step 5: Solve for x
    x = 51,057,856.23/8,102.82
  6. Step 6: Final answer
    x = 6,301.25

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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.