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Finding the Fourth Proportional to 12,286.26, 18,411.79 and 7,010.36

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Solution

The fourth proportional to 12,286.26, 18,411.79 and 7,010.36 is: 10,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.26 : 18,411.79 = 7,010.36 : x
  2. Step 2: Convert to fraction form
    12,286.26/18,411.79 = 7,010.36/x
  3. Step 3: Cross multiply
    12,286.26x = 18,411.79 × 7,010.36
  4. Step 4: Simplify right side
    12,286.26x = 129,073,276.14
  5. Step 5: Solve for x
    x = 129,073,276.14/12,286.26
  6. Step 6: Final answer
    x = 10,505.50

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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.