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Finding the Fourth Proportional to 10,388.69, 14,337.43 and 6,196.94

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Solution

The fourth proportional to 10,388.69, 14,337.43 and 6,196.94 is: 8,552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.69 : 14,337.43 = 6,196.94 : x
  2. Step 2: Convert to fraction form
    10,388.69/14,337.43 = 6,196.94/x
  3. Step 3: Cross multiply
    10,388.69x = 14,337.43 × 6,196.94
  4. Step 4: Simplify right side
    10,388.69x = 88,848,121.55
  5. Step 5: Solve for x
    x = 88,848,121.55/10,388.69
  6. Step 6: Final answer
    x = 8,552.39

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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.