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Finding the Fourth Proportional to 8,494.50, 11,722.59 and 4,768.50

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Solution

The fourth proportional to 8,494.50, 11,722.59 and 4,768.50 is: 6,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.50 : 11,722.59 = 4,768.50 : x
  2. Step 2: Convert to fraction form
    8,494.50/11,722.59 = 4,768.50/x
  3. Step 3: Cross multiply
    8,494.50x = 11,722.59 × 4,768.50
  4. Step 4: Simplify right side
    8,494.50x = 55,899,170.42
  5. Step 5: Solve for x
    x = 55,899,170.42/8,494.50
  6. Step 6: Final answer
    x = 6,580.63

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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.