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Finding the Fourth Proportional to 7,858.26, 10,839.81 and 5,730.96

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Solution

The fourth proportional to 7,858.26, 10,839.81 and 5,730.96 is: 7,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.26 : 10,839.81 = 5,730.96 : x
  2. Step 2: Convert to fraction form
    7,858.26/10,839.81 = 5,730.96/x
  3. Step 3: Cross multiply
    7,858.26x = 10,839.81 × 5,730.96
  4. Step 4: Simplify right side
    7,858.26x = 62,122,517.52
  5. Step 5: Solve for x
    x = 62,122,517.52/7,858.26
  6. Step 6: Final answer
    x = 7,905.38

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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.