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Finding the Fourth Proportional to 12,578.01, 17,356.63 and 7,273.17

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Solution

The fourth proportional to 12,578.01, 17,356.63 and 7,273.17 is: 10,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.01 : 17,356.63 = 7,273.17 : x
  2. Step 2: Convert to fraction form
    12,578.01/17,356.63 = 7,273.17/x
  3. Step 3: Cross multiply
    12,578.01x = 17,356.63 × 7,273.17
  4. Step 4: Simplify right side
    12,578.01x = 126,237,720.62
  5. Step 5: Solve for x
    x = 126,237,720.62/12,578.01
  6. Step 6: Final answer
    x = 10,036.38

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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.