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Finding the Fourth Proportional to 10,200.74, 15,286.75 and 8,111.46

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Solution

The fourth proportional to 10,200.74, 15,286.75 and 8,111.46 is: 12,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.74 : 15,286.75 = 8,111.46 : x
  2. Step 2: Convert to fraction form
    10,200.74/15,286.75 = 8,111.46/x
  3. Step 3: Cross multiply
    10,200.74x = 15,286.75 × 8,111.46
  4. Step 4: Simplify right side
    10,200.74x = 123,997,879.09
  5. Step 5: Solve for x
    x = 123,997,879.09/10,200.74
  6. Step 6: Final answer
    x = 12,155.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.