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Finding the Fourth Proportional to 7,858, 10,844.04 and 4,321.44

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Solution

The fourth proportional to 7,858, 10,844.04 and 4,321.44 is: 5,963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858 : 10,844.04 = 4,321.44 : x
  2. Step 2: Convert to fraction form
    7,858/10,844.04 = 4,321.44/x
  3. Step 3: Cross multiply
    7,858x = 10,844.04 × 4,321.44
  4. Step 4: Simplify right side
    7,858x = 46,861,868.22
  5. Step 5: Solve for x
    x = 46,861,868.22/7,858
  6. Step 6: Final answer
    x = 5,963.59

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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.