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Finding the Fourth Proportional to 10,189, 14,084.36 and 8,500.56

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Solution

The fourth proportional to 10,189, 14,084.36 and 8,500.56 is: 11,750.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189 : 14,084.36 = 8,500.56 : x
  2. Step 2: Convert to fraction form
    10,189/14,084.36 = 8,500.56/x
  3. Step 3: Cross multiply
    10,189x = 14,084.36 × 8,500.56
  4. Step 4: Simplify right side
    10,189x = 119,724,947.24
  5. Step 5: Solve for x
    x = 119,724,947.24/10,189
  6. Step 6: Final answer
    x = 11,750.41

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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.