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Finding the Fourth Proportional to 8,102.50, 11,181.46 and 4,376.50

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Solution

The fourth proportional to 8,102.50, 11,181.46 and 4,376.50 is: 6,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.50 : 11,181.46 = 4,376.50 : x
  2. Step 2: Convert to fraction form
    8,102.50/11,181.46 = 4,376.50/x
  3. Step 3: Cross multiply
    8,102.50x = 11,181.46 × 4,376.50
  4. Step 4: Simplify right side
    8,102.50x = 48,935,659.69
  5. Step 5: Solve for x
    x = 48,935,659.69/8,102.50
  6. Step 6: Final answer
    x = 6,039.58

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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.