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Finding the Fourth Proportional to 11,241.22, 15,513.74 and 6,206.41

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Solution

The fourth proportional to 11,241.22, 15,513.74 and 6,206.41 is: 8,565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241.22 : 15,513.74 = 6,206.41 : x
  2. Step 2: Convert to fraction form
    11,241.22/15,513.74 = 6,206.41/x
  3. Step 3: Cross multiply
    11,241.22x = 15,513.74 × 6,206.41
  4. Step 4: Simplify right side
    11,241.22x = 96,284,631.07
  5. Step 5: Solve for x
    x = 96,284,631.07/11,241.22
  6. Step 6: Final answer
    x = 8,565.32

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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.