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Finding the Fourth Proportional to 11,180.88, 15,415.65 and 8,524.08

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Solution

The fourth proportional to 11,180.88, 15,415.65 and 8,524.08 is: 11,752.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180.88 : 15,415.65 = 8,524.08 : x
  2. Step 2: Convert to fraction form
    11,180.88/15,415.65 = 8,524.08/x
  3. Step 3: Cross multiply
    11,180.88x = 15,415.65 × 8,524.08
  4. Step 4: Simplify right side
    11,180.88x = 131,404,233.85
  5. Step 5: Solve for x
    x = 131,404,233.85/11,180.88
  6. Step 6: Final answer
    x = 11,752.58

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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.