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Finding the Fourth Proportional to 7,864.43, 10,853.01 and 4,327.65

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Solution

The fourth proportional to 7,864.43, 10,853.01 and 4,327.65 is: 5,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.43 : 10,853.01 = 4,327.65 : x
  2. Step 2: Convert to fraction form
    7,864.43/10,853.01 = 4,327.65/x
  3. Step 3: Cross multiply
    7,864.43x = 10,853.01 × 4,327.65
  4. Step 4: Simplify right side
    7,864.43x = 46,968,028.73
  5. Step 5: Solve for x
    x = 46,968,028.73/7,864.43
  6. Step 6: Final answer
    x = 5,972.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.