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Finding the Fourth Proportional to 8,518.74, 11,754.84 and 4,741

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Solution

The fourth proportional to 8,518.74, 11,754.84 and 4,741 is: 6,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,518.74 : 11,754.84 = 4,741 : x
  2. Step 2: Convert to fraction form
    8,518.74/11,754.84 = 4,741/x
  3. Step 3: Cross multiply
    8,518.74x = 11,754.84 × 4,741
  4. Step 4: Simplify right side
    8,518.74x = 55,729,696.44
  5. Step 5: Solve for x
    x = 55,729,696.44/8,518.74
  6. Step 6: Final answer
    x = 6,542.01

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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.