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Finding the Fourth Proportional to 8,042.14, 11,098.37 and 4,505.27

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Solution

The fourth proportional to 8,042.14, 11,098.37 and 4,505.27 is: 6,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.14 : 11,098.37 = 4,505.27 : x
  2. Step 2: Convert to fraction form
    8,042.14/11,098.37 = 4,505.27/x
  3. Step 3: Cross multiply
    8,042.14x = 11,098.37 × 4,505.27
  4. Step 4: Simplify right side
    8,042.14x = 50,001,130.88
  5. Step 5: Solve for x
    x = 50,001,130.88/8,042.14
  6. Step 6: Final answer
    x = 6,217.40

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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.