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Finding the Fourth Proportional to 10,333.78, 15,497.02 and 4,786.09

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Solution

The fourth proportional to 10,333.78, 15,497.02 and 4,786.09 is: 7,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.78 : 15,497.02 = 4,786.09 : x
  2. Step 2: Convert to fraction form
    10,333.78/15,497.02 = 4,786.09/x
  3. Step 3: Cross multiply
    10,333.78x = 15,497.02 × 4,786.09
  4. Step 4: Simplify right side
    10,333.78x = 74,170,099.69
  5. Step 5: Solve for x
    x = 74,170,099.69/10,333.78
  6. Step 6: Final answer
    x = 7,177.44

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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.