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Finding the Fourth Proportional to 7,538.61, 10,403.82 and 4,181.61

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Solution

The fourth proportional to 7,538.61, 10,403.82 and 4,181.61 is: 5,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.61 : 10,403.82 = 4,181.61 : x
  2. Step 2: Convert to fraction form
    7,538.61/10,403.82 = 4,181.61/x
  3. Step 3: Cross multiply
    7,538.61x = 10,403.82 × 4,181.61
  4. Step 4: Simplify right side
    7,538.61x = 43,504,717.75
  5. Step 5: Solve for x
    x = 43,504,717.75/7,538.61
  6. Step 6: Final answer
    x = 5,770.92

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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.