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Finding the Fourth Proportional to 10,936.40, 16,404.60 and 4,013.60

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Solution

The fourth proportional to 10,936.40, 16,404.60 and 4,013.60 is: 6,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,936.40 : 16,404.60 = 4,013.60 : x
  2. Step 2: Convert to fraction form
    10,936.40/16,404.60 = 4,013.60/x
  3. Step 3: Cross multiply
    10,936.40x = 16,404.60 × 4,013.60
  4. Step 4: Simplify right side
    10,936.40x = 65,841,502.56
  5. Step 5: Solve for x
    x = 65,841,502.56/10,936.40
  6. Step 6: Final answer
    x = 6,020.40

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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.