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Finding the Fourth Proportional to 7,857.57, 10,843.79 and 4,320.91

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Solution

The fourth proportional to 7,857.57, 10,843.79 and 4,320.91 is: 5,963.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.57 : 10,843.79 = 4,320.91 : x
  2. Step 2: Convert to fraction form
    7,857.57/10,843.79 = 4,320.91/x
  3. Step 3: Cross multiply
    7,857.57x = 10,843.79 × 4,320.91
  4. Step 4: Simplify right side
    7,857.57x = 46,854,986.43
  5. Step 5: Solve for x
    x = 46,854,986.43/7,857.57
  6. Step 6: Final answer
    x = 5,963.04

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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.