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Finding the Fourth Proportional to 8,114.50, 11,198.03 and 4,388.50

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Solution

The fourth proportional to 8,114.50, 11,198.03 and 4,388.50 is: 6,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.50 : 11,198.03 = 4,388.50 : x
  2. Step 2: Convert to fraction form
    8,114.50/11,198.03 = 4,388.50/x
  3. Step 3: Cross multiply
    8,114.50x = 11,198.03 × 4,388.50
  4. Step 4: Simplify right side
    8,114.50x = 49,142,554.66
  5. Step 5: Solve for x
    x = 49,142,554.66/8,114.50
  6. Step 6: Final answer
    x = 6,056.14

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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.