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Finding the Fourth Proportional to 8,114.46, 11,199.12 and 4,578

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Solution

The fourth proportional to 8,114.46, 11,199.12 and 4,578 is: 6,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.46 : 11,199.12 = 4,578 : x
  2. Step 2: Convert to fraction form
    8,114.46/11,199.12 = 4,578/x
  3. Step 3: Cross multiply
    8,114.46x = 11,199.12 × 4,578
  4. Step 4: Simplify right side
    8,114.46x = 51,269,571.36
  5. Step 5: Solve for x
    x = 51,269,571.36/8,114.46
  6. Step 6: Final answer
    x = 6,318.30

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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.