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Finding the Fourth Proportional to 11,524.78, 17,282.82 and 3,731.50

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Solution

The fourth proportional to 11,524.78, 17,282.82 and 3,731.50 is: 5,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.78 : 17,282.82 = 3,731.50 : x
  2. Step 2: Convert to fraction form
    11,524.78/17,282.82 = 3,731.50/x
  3. Step 3: Cross multiply
    11,524.78x = 17,282.82 × 3,731.50
  4. Step 4: Simplify right side
    11,524.78x = 64,490,842.83
  5. Step 5: Solve for x
    x = 64,490,842.83/11,524.78
  6. Step 6: Final answer
    x = 5,595.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.