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Finding the Fourth Proportional to 10,194.46, 15,305.73 and 5,267.50

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Solution

The fourth proportional to 10,194.46, 15,305.73 and 5,267.50 is: 7,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.46 : 15,305.73 = 5,267.50 : x
  2. Step 2: Convert to fraction form
    10,194.46/15,305.73 = 5,267.50/x
  3. Step 3: Cross multiply
    10,194.46x = 15,305.73 × 5,267.50
  4. Step 4: Simplify right side
    10,194.46x = 80,622,932.78
  5. Step 5: Solve for x
    x = 80,622,932.78/10,194.46
  6. Step 6: Final answer
    x = 7,908.50

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Why These Related Problems?

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