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Finding the Fourth Proportional to 10,287, 14,196.16 and 5,571.38

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Solution

The fourth proportional to 10,287, 14,196.16 and 5,571.38 is: 7,688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287 : 14,196.16 = 5,571.38 : x
  2. Step 2: Convert to fraction form
    10,287/14,196.16 = 5,571.38/x
  3. Step 3: Cross multiply
    10,287x = 14,196.16 × 5,571.38
  4. Step 4: Simplify right side
    10,287x = 79,092,244.36
  5. Step 5: Solve for x
    x = 79,092,244.36/10,287
  6. Step 6: Final answer
    x = 7,688.56

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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.