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Finding the Fourth Proportional to 11,241.73, 15,513.65 and 6,205.86

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Solution

The fourth proportional to 11,241.73, 15,513.65 and 6,205.86 is: 8,564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241.73 : 15,513.65 = 6,205.86 : x
  2. Step 2: Convert to fraction form
    11,241.73/15,513.65 = 6,205.86/x
  3. Step 3: Cross multiply
    11,241.73x = 15,513.65 × 6,205.86
  4. Step 4: Simplify right side
    11,241.73x = 96,275,532.23
  5. Step 5: Solve for x
    x = 96,275,532.23/11,241.73
  6. Step 6: Final answer
    x = 8,564.12

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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.