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Finding the Fourth Proportional to 8,102.81, 11,181.88 and 4,376.81

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Solution

The fourth proportional to 8,102.81, 11,181.88 and 4,376.81 is: 6,040.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.81 : 11,181.88 = 4,376.81 : x
  2. Step 2: Convert to fraction form
    8,102.81/11,181.88 = 4,376.81/x
  3. Step 3: Cross multiply
    8,102.81x = 11,181.88 × 4,376.81
  4. Step 4: Simplify right side
    8,102.81x = 48,940,997.63
  5. Step 5: Solve for x
    x = 48,940,997.63/8,102.81
  6. Step 6: Final answer
    x = 6,040.00

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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.