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Finding the Fourth Proportional to 8,518.66, 11,756.76 and 5,161.39

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Solution

The fourth proportional to 8,518.66, 11,756.76 and 5,161.39 is: 7,123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,518.66 : 11,756.76 = 5,161.39 : x
  2. Step 2: Convert to fraction form
    8,518.66/11,756.76 = 5,161.39/x
  3. Step 3: Cross multiply
    8,518.66x = 11,756.76 × 5,161.39
  4. Step 4: Simplify right side
    8,518.66x = 60,681,223.50
  5. Step 5: Solve for x
    x = 60,681,223.50/8,518.66
  6. Step 6: Final answer
    x = 7,123.33

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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.