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Finding the Fourth Proportional to 11,242.89, 15,512.78 and 6,524.64

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Solution

The fourth proportional to 11,242.89, 15,512.78 and 6,524.64 is: 9,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.89 : 15,512.78 = 6,524.64 : x
  2. Step 2: Convert to fraction form
    11,242.89/15,512.78 = 6,524.64/x
  3. Step 3: Cross multiply
    11,242.89x = 15,512.78 × 6,524.64
  4. Step 4: Simplify right side
    11,242.89x = 101,215,272.28
  5. Step 5: Solve for x
    x = 101,215,272.28/11,242.89
  6. Step 6: Final answer
    x = 9,002.60

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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.