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Finding the Fourth Proportional to 10,083, 13,914.54 and 5,667

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Solution

The fourth proportional to 10,083, 13,914.54 and 5,667 is: 7,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083 : 13,914.54 = 5,667 : x
  2. Step 2: Convert to fraction form
    10,083/13,914.54 = 5,667/x
  3. Step 3: Cross multiply
    10,083x = 13,914.54 × 5,667
  4. Step 4: Simplify right side
    10,083x = 78,853,698.18
  5. Step 5: Solve for x
    x = 78,853,698.18/10,083
  6. Step 6: Final answer
    x = 7,820.46

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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.