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Finding the Fourth Proportional to 8,116.47, 11,203.07 and 4,759.43

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Solution

The fourth proportional to 8,116.47, 11,203.07 and 4,759.43 is: 6,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.47 : 11,203.07 = 4,759.43 : x
  2. Step 2: Convert to fraction form
    8,116.47/11,203.07 = 4,759.43/x
  3. Step 3: Cross multiply
    8,116.47x = 11,203.07 × 4,759.43
  4. Step 4: Simplify right side
    8,116.47x = 53,320,147.64
  5. Step 5: Solve for x
    x = 53,320,147.64/8,116.47
  6. Step 6: Final answer
    x = 6,569.38

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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.