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Finding the Fourth Proportional to 11,241.52, 15,513.21 and 6,205.74

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Solution

The fourth proportional to 11,241.52, 15,513.21 and 6,205.74 is: 8,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241.52 : 15,513.21 = 6,205.74 : x
  2. Step 2: Convert to fraction form
    11,241.52/15,513.21 = 6,205.74/x
  3. Step 3: Cross multiply
    11,241.52x = 15,513.21 × 6,205.74
  4. Step 4: Simplify right side
    11,241.52x = 96,270,990.00
  5. Step 5: Solve for x
    x = 96,270,990.00/11,241.52
  6. Step 6: Final answer
    x = 8,563.88

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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.