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Finding the Fourth Proportional to 8,254.09, 11,391.43 and 4,716.62

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Solution

The fourth proportional to 8,254.09, 11,391.43 and 4,716.62 is: 6,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.09 : 11,391.43 = 4,716.62 : x
  2. Step 2: Convert to fraction form
    8,254.09/11,391.43 = 4,716.62/x
  3. Step 3: Cross multiply
    8,254.09x = 11,391.43 × 4,716.62
  4. Step 4: Simplify right side
    8,254.09x = 53,728,977.82
  5. Step 5: Solve for x
    x = 53,728,977.82/8,254.09
  6. Step 6: Final answer
    x = 6,509.38

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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.