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Finding the Fourth Proportional to 7,857.90, 10,844.37 and 4,321.38

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Solution

The fourth proportional to 7,857.90, 10,844.37 and 4,321.38 is: 5,963.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.90 : 10,844.37 = 4,321.38 : x
  2. Step 2: Convert to fraction form
    7,857.90/10,844.37 = 4,321.38/x
  3. Step 3: Cross multiply
    7,857.90x = 10,844.37 × 4,321.38
  4. Step 4: Simplify right side
    7,857.90x = 46,862,643.63
  5. Step 5: Solve for x
    x = 46,862,643.63/7,857.90
  6. Step 6: Final answer
    x = 5,963.76

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Why These Related Problems?

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