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Finding the Fourth Proportional to 7,858.22, 10,844.28 and 4,321.35

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Solution

The fourth proportional to 7,858.22, 10,844.28 and 4,321.35 is: 5,963.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.22 : 10,844.28 = 4,321.35 : x
  2. Step 2: Convert to fraction form
    7,858.22/10,844.28 = 4,321.35/x
  3. Step 3: Cross multiply
    7,858.22x = 10,844.28 × 4,321.35
  4. Step 4: Simplify right side
    7,858.22x = 46,861,929.38
  5. Step 5: Solve for x
    x = 46,861,929.38/7,858.22
  6. Step 6: Final answer
    x = 5,963.43

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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.