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Finding the Fourth Proportional to 8,506, 11,738.40 and 5,194

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Solution

The fourth proportional to 8,506, 11,738.40 and 5,194 is: 7,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506 : 11,738.40 = 5,194 : x
  2. Step 2: Convert to fraction form
    8,506/11,738.40 = 5,194/x
  3. Step 3: Cross multiply
    8,506x = 11,738.40 × 5,194
  4. Step 4: Simplify right side
    8,506x = 60,969,249.60
  5. Step 5: Solve for x
    x = 60,969,249.60/8,506
  6. Step 6: Final answer
    x = 7,167.79

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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.