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Finding the Fourth Proportional to 8,519.74, 11,756.22 and 4,742

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Solution

The fourth proportional to 8,519.74, 11,756.22 and 4,742 is: 6,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.74 : 11,756.22 = 4,742 : x
  2. Step 2: Convert to fraction form
    8,519.74/11,756.22 = 4,742/x
  3. Step 3: Cross multiply
    8,519.74x = 11,756.22 × 4,742
  4. Step 4: Simplify right side
    8,519.74x = 55,747,995.24
  5. Step 5: Solve for x
    x = 55,747,995.24/8,519.74
  6. Step 6: Final answer
    x = 6,543.39

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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.