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Finding the Fourth Proportional to 11,318.14, 16,988.02 and 6,944.14

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Solution

The fourth proportional to 11,318.14, 16,988.02 and 6,944.14 is: 10,422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,318.14 : 16,988.02 = 6,944.14 : x
  2. Step 2: Convert to fraction form
    11,318.14/16,988.02 = 6,944.14/x
  3. Step 3: Cross multiply
    11,318.14x = 16,988.02 × 6,944.14
  4. Step 4: Simplify right side
    11,318.14x = 117,967,189.20
  5. Step 5: Solve for x
    x = 117,967,189.20/11,318.14
  6. Step 6: Final answer
    x = 10,422.84

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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.