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Finding the Fourth Proportional to 8,494.74, 11,722.08 and 4,717.56

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Solution

The fourth proportional to 8,494.74, 11,722.08 and 4,717.56 is: 6,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.74 : 11,722.08 = 4,717.56 : x
  2. Step 2: Convert to fraction form
    8,494.74/11,722.08 = 4,717.56/x
  3. Step 3: Cross multiply
    8,494.74x = 11,722.08 × 4,717.56
  4. Step 4: Simplify right side
    8,494.74x = 55,299,615.72
  5. Step 5: Solve for x
    x = 55,299,615.72/8,494.74
  6. Step 6: Final answer
    x = 6,509.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.