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Finding the Fourth Proportional to 11,802.28, 17,697.66 and 4,201.03

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Solution

The fourth proportional to 11,802.28, 17,697.66 and 4,201.03 is: 6,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.28 : 17,697.66 = 4,201.03 : x
  2. Step 2: Convert to fraction form
    11,802.28/17,697.66 = 4,201.03/x
  3. Step 3: Cross multiply
    11,802.28x = 17,697.66 × 4,201.03
  4. Step 4: Simplify right side
    11,802.28x = 74,348,400.59
  5. Step 5: Solve for x
    x = 74,348,400.59/11,802.28
  6. Step 6: Final answer
    x = 6,299.49

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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.