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Finding the Fourth Proportional to 7,641.42, 11,462.94 and 2,711.49

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Solution

The fourth proportional to 7,641.42, 11,462.94 and 2,711.49 is: 4,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.42 : 11,462.94 = 2,711.49 : x
  2. Step 2: Convert to fraction form
    7,641.42/11,462.94 = 2,711.49/x
  3. Step 3: Cross multiply
    7,641.42x = 11,462.94 × 2,711.49
  4. Step 4: Simplify right side
    7,641.42x = 31,081,647.18
  5. Step 5: Solve for x
    x = 31,081,647.18/7,641.42
  6. Step 6: Final answer
    x = 4,067.52

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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.