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Finding the Fourth Proportional to 7,634.78, 11,441.23 and 4,340.91

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Solution

The fourth proportional to 7,634.78, 11,441.23 and 4,340.91 is: 6,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.78 : 11,441.23 = 4,340.91 : x
  2. Step 2: Convert to fraction form
    7,634.78/11,441.23 = 4,340.91/x
  3. Step 3: Cross multiply
    7,634.78x = 11,441.23 × 4,340.91
  4. Step 4: Simplify right side
    7,634.78x = 49,665,349.72
  5. Step 5: Solve for x
    x = 49,665,349.72/7,634.78
  6. Step 6: Final answer
    x = 6,505.14

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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.