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Finding the Fourth Proportional to 7,639.43, 11,406.87 and 6,843.65

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Solution

The fourth proportional to 7,639.43, 11,406.87 and 6,843.65 is: 10,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.43 : 11,406.87 = 6,843.65 : x
  2. Step 2: Convert to fraction form
    7,639.43/11,406.87 = 6,843.65/x
  3. Step 3: Cross multiply
    7,639.43x = 11,406.87 × 6,843.65
  4. Step 4: Simplify right side
    7,639.43x = 78,064,637.28
  5. Step 5: Solve for x
    x = 78,064,637.28/7,639.43
  6. Step 6: Final answer
    x = 10,218.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.