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Finding the Fourth Proportional to 7,605.38, 11,380.31 and 4,486.88

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Solution

The fourth proportional to 7,605.38, 11,380.31 and 4,486.88 is: 6,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.38 : 11,380.31 = 4,486.88 : x
  2. Step 2: Convert to fraction form
    7,605.38/11,380.31 = 4,486.88/x
  3. Step 3: Cross multiply
    7,605.38x = 11,380.31 × 4,486.88
  4. Step 4: Simplify right side
    7,605.38x = 51,062,028.43
  5. Step 5: Solve for x
    x = 51,062,028.43/7,605.38
  6. Step 6: Final answer
    x = 6,713.94

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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.