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Finding the Fourth Proportional to 8,137, 11,230.74 and 4,600.36

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Solution

The fourth proportional to 8,137, 11,230.74 and 4,600.36 is: 6,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137 : 11,230.74 = 4,600.36 : x
  2. Step 2: Convert to fraction form
    8,137/11,230.74 = 4,600.36/x
  3. Step 3: Cross multiply
    8,137x = 11,230.74 × 4,600.36
  4. Step 4: Simplify right side
    8,137x = 51,665,447.07
  5. Step 5: Solve for x
    x = 51,665,447.07/8,137
  6. Step 6: Final answer
    x = 6,349.45

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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.