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Finding the Fourth Proportional to 10,536, 14,542.56 and 7,183.68

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Solution

The fourth proportional to 10,536, 14,542.56 and 7,183.68 is: 9,915.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536 : 14,542.56 = 7,183.68 : x
  2. Step 2: Convert to fraction form
    10,536/14,542.56 = 7,183.68/x
  3. Step 3: Cross multiply
    10,536x = 14,542.56 × 7,183.68
  4. Step 4: Simplify right side
    10,536x = 104,469,097.42
  5. Step 5: Solve for x
    x = 104,469,097.42/10,536
  6. Step 6: Final answer
    x = 9,915.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.