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Finding the Fourth Proportional to 10,188.75, 14,084.01 and 8,500.31

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Solution

The fourth proportional to 10,188.75, 14,084.01 and 8,500.31 is: 11,750.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.75 : 14,084.01 = 8,500.31 : x
  2. Step 2: Convert to fraction form
    10,188.75/14,084.01 = 8,500.31/x
  3. Step 3: Cross multiply
    10,188.75x = 14,084.01 × 8,500.31
  4. Step 4: Simplify right side
    10,188.75x = 119,718,380.62
  5. Step 5: Solve for x
    x = 119,718,380.62/10,188.75
  6. Step 6: Final answer
    x = 11,750.06

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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.