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Finding the Fourth Proportional to 8,494.84, 11,722.98 and 5,138.02

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Solution

The fourth proportional to 8,494.84, 11,722.98 and 5,138.02 is: 7,090.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.84 : 11,722.98 = 5,138.02 : x
  2. Step 2: Convert to fraction form
    8,494.84/11,722.98 = 5,138.02/x
  3. Step 3: Cross multiply
    8,494.84x = 11,722.98 × 5,138.02
  4. Step 4: Simplify right side
    8,494.84x = 60,232,905.70
  5. Step 5: Solve for x
    x = 60,232,905.70/8,494.84
  6. Step 6: Final answer
    x = 7,090.53

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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.