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Finding the Fourth Proportional to 11,308.50, 16,982.19 and 10,278.18

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Solution

The fourth proportional to 11,308.50, 16,982.19 and 10,278.18 is: 15,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.50 : 16,982.19 = 10,278.18 : x
  2. Step 2: Convert to fraction form
    11,308.50/16,982.19 = 10,278.18/x
  3. Step 3: Cross multiply
    11,308.50x = 16,982.19 × 10,278.18
  4. Step 4: Simplify right side
    11,308.50x = 174,546,005.61
  5. Step 5: Solve for x
    x = 174,546,005.61/11,308.50
  6. Step 6: Final answer
    x = 15,434.94

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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.