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Finding the Fourth Proportional to 6,346.15, 8,754.89 and 4,108.12

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Solution

The fourth proportional to 6,346.15, 8,754.89 and 4,108.12 is: 5,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.15 : 8,754.89 = 4,108.12 : x
  2. Step 2: Convert to fraction form
    6,346.15/8,754.89 = 4,108.12/x
  3. Step 3: Cross multiply
    6,346.15x = 8,754.89 × 4,108.12
  4. Step 4: Simplify right side
    6,346.15x = 35,966,096.28
  5. Step 5: Solve for x
    x = 35,966,096.28/6,346.15
  6. Step 6: Final answer
    x = 5,667.39

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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.