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Finding the Fourth Proportional to 7,868.69, 10,858.38 and 4,331.21

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Solution

The fourth proportional to 7,868.69, 10,858.38 and 4,331.21 is: 5,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.69 : 10,858.38 = 4,331.21 : x
  2. Step 2: Convert to fraction form
    7,868.69/10,858.38 = 4,331.21/x
  3. Step 3: Cross multiply
    7,868.69x = 10,858.38 × 4,331.21
  4. Step 4: Simplify right side
    7,868.69x = 47,029,924.04
  5. Step 5: Solve for x
    x = 47,029,924.04/7,868.69
  6. Step 6: Final answer
    x = 5,976.84

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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.