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Finding the Fourth Proportional to 11,973.44, 17,967.90 and 5,399.22

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Solution

The fourth proportional to 11,973.44, 17,967.90 and 5,399.22 is: 8,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.44 : 17,967.90 = 5,399.22 : x
  2. Step 2: Convert to fraction form
    11,973.44/17,967.90 = 5,399.22/x
  3. Step 3: Cross multiply
    11,973.44x = 17,967.90 × 5,399.22
  4. Step 4: Simplify right side
    11,973.44x = 97,012,645.04
  5. Step 5: Solve for x
    x = 97,012,645.04/11,973.44
  6. Step 6: Final answer
    x = 8,102.32

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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.