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Finding the Fourth Proportional to 7,865.44, 10,853.89 and 4,327.98

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Solution

The fourth proportional to 7,865.44, 10,853.89 and 4,327.98 is: 5,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.44 : 10,853.89 = 4,327.98 : x
  2. Step 2: Convert to fraction form
    7,865.44/10,853.89 = 4,327.98/x
  3. Step 3: Cross multiply
    7,865.44x = 10,853.89 × 4,327.98
  4. Step 4: Simplify right side
    7,865.44x = 46,975,418.84
  5. Step 5: Solve for x
    x = 46,975,418.84/7,865.44
  6. Step 6: Final answer
    x = 5,972.38

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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.