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Finding the Fourth Proportional to 11,023.81, 15,212.07 and 6,244.23

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Solution

The fourth proportional to 11,023.81, 15,212.07 and 6,244.23 is: 8,616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.81 : 15,212.07 = 6,244.23 : x
  2. Step 2: Convert to fraction form
    11,023.81/15,212.07 = 6,244.23/x
  3. Step 3: Cross multiply
    11,023.81x = 15,212.07 × 6,244.23
  4. Step 4: Simplify right side
    11,023.81x = 94,987,720.90
  5. Step 5: Solve for x
    x = 94,987,720.90/11,023.81
  6. Step 6: Final answer
    x = 8,616.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.