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Finding the Fourth Proportional to 7,641.97, 11,462.04 and 2,095.81

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Solution

The fourth proportional to 7,641.97, 11,462.04 and 2,095.81 is: 3,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.97 : 11,462.04 = 2,095.81 : x
  2. Step 2: Convert to fraction form
    7,641.97/11,462.04 = 2,095.81/x
  3. Step 3: Cross multiply
    7,641.97x = 11,462.04 × 2,095.81
  4. Step 4: Simplify right side
    7,641.97x = 24,022,229.40
  5. Step 5: Solve for x
    x = 24,022,229.40/7,641.97
  6. Step 6: Final answer
    x = 3,143.46

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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.