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Finding the Fourth Proportional to 13,072.78, 19,593.11 and 6,043.28

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Solution

The fourth proportional to 13,072.78, 19,593.11 and 6,043.28 is: 9,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072.78 : 19,593.11 = 6,043.28 : x
  2. Step 2: Convert to fraction form
    13,072.78/19,593.11 = 6,043.28/x
  3. Step 3: Cross multiply
    13,072.78x = 19,593.11 × 6,043.28
  4. Step 4: Simplify right side
    13,072.78x = 118,406,649.80
  5. Step 5: Solve for x
    x = 118,406,649.80/13,072.78
  6. Step 6: Final answer
    x = 9,057.50

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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.