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Finding the Fourth Proportional to 10,233.10, 15,326.97 and 8,276.14

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Solution

The fourth proportional to 10,233.10, 15,326.97 and 8,276.14 is: 12,395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.10 : 15,326.97 = 8,276.14 : x
  2. Step 2: Convert to fraction form
    10,233.10/15,326.97 = 8,276.14/x
  3. Step 3: Cross multiply
    10,233.10x = 15,326.97 × 8,276.14
  4. Step 4: Simplify right side
    10,233.10x = 126,848,149.50
  5. Step 5: Solve for x
    x = 126,848,149.50/10,233.10
  6. Step 6: Final answer
    x = 12,395.87

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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.