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Finding the Fourth Proportional to 7,538.76, 10,403.20 and 4,181.88

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Solution

The fourth proportional to 7,538.76, 10,403.20 and 4,181.88 is: 5,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.76 : 10,403.20 = 4,181.88 : x
  2. Step 2: Convert to fraction form
    7,538.76/10,403.20 = 4,181.88/x
  3. Step 3: Cross multiply
    7,538.76x = 10,403.20 × 4,181.88
  4. Step 4: Simplify right side
    7,538.76x = 43,504,934.02
  5. Step 5: Solve for x
    x = 43,504,934.02/7,538.76
  6. Step 6: Final answer
    x = 5,770.83

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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.