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Finding the Fourth Proportional to 10,143.58, 13,998.70 and 5,667.44

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Solution

The fourth proportional to 10,143.58, 13,998.70 and 5,667.44 is: 7,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.58 : 13,998.70 = 5,667.44 : x
  2. Step 2: Convert to fraction form
    10,143.58/13,998.70 = 5,667.44/x
  3. Step 3: Cross multiply
    10,143.58x = 13,998.70 × 5,667.44
  4. Step 4: Simplify right side
    10,143.58x = 79,336,792.33
  5. Step 5: Solve for x
    x = 79,336,792.33/10,143.58
  6. Step 6: Final answer
    x = 7,821.38

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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.