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Finding the Fourth Proportional to 10,933.10, 16,387.22 and 9,614.28

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Solution

The fourth proportional to 10,933.10, 16,387.22 and 9,614.28 is: 14,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933.10 : 16,387.22 = 9,614.28 : x
  2. Step 2: Convert to fraction form
    10,933.10/16,387.22 = 9,614.28/x
  3. Step 3: Cross multiply
    10,933.10x = 16,387.22 × 9,614.28
  4. Step 4: Simplify right side
    10,933.10x = 157,551,321.50
  5. Step 5: Solve for x
    x = 157,551,321.50/10,933.10
  6. Step 6: Final answer
    x = 14,410.49

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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.