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Finding the Fourth Proportional to 8,622.42, 11,898.82 and 5,084.34

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Solution

The fourth proportional to 8,622.42, 11,898.82 and 5,084.34 is: 7,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,622.42 : 11,898.82 = 5,084.34 : x
  2. Step 2: Convert to fraction form
    8,622.42/11,898.82 = 5,084.34/x
  3. Step 3: Cross multiply
    8,622.42x = 11,898.82 × 5,084.34
  4. Step 4: Simplify right side
    8,622.42x = 60,497,646.48
  5. Step 5: Solve for x
    x = 60,497,646.48/8,622.42
  6. Step 6: Final answer
    x = 7,016.32

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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.