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Finding the Fourth Proportional to 8,091, 11,165.31 and 4,554

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Solution

The fourth proportional to 8,091, 11,165.31 and 4,554 is: 6,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091 : 11,165.31 = 4,554 : x
  2. Step 2: Convert to fraction form
    8,091/11,165.31 = 4,554/x
  3. Step 3: Cross multiply
    8,091x = 11,165.31 × 4,554
  4. Step 4: Simplify right side
    8,091x = 50,846,821.74
  5. Step 5: Solve for x
    x = 50,846,821.74/8,091
  6. Step 6: Final answer
    x = 6,284.37

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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.