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Finding the Fourth Proportional to 8,102.23, 11,181.08 and 4,376.23

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Solution

The fourth proportional to 8,102.23, 11,181.08 and 4,376.23 is: 6,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.23 : 11,181.08 = 4,376.23 : x
  2. Step 2: Convert to fraction form
    8,102.23/11,181.08 = 4,376.23/x
  3. Step 3: Cross multiply
    8,102.23x = 11,181.08 × 4,376.23
  4. Step 4: Simplify right side
    8,102.23x = 48,930,927.89
  5. Step 5: Solve for x
    x = 48,930,927.89/8,102.23
  6. Step 6: Final answer
    x = 6,039.19

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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.