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Finding the Fourth Proportional to 8,477.34, 11,694.06 and 5,958.42

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Solution

The fourth proportional to 8,477.34, 11,694.06 and 5,958.42 is: 8,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.34 : 11,694.06 = 5,958.42 : x
  2. Step 2: Convert to fraction form
    8,477.34/11,694.06 = 5,958.42/x
  3. Step 3: Cross multiply
    8,477.34x = 11,694.06 × 5,958.42
  4. Step 4: Simplify right side
    8,477.34x = 69,678,120.99
  5. Step 5: Solve for x
    x = 69,678,120.99/8,477.34
  6. Step 6: Final answer
    x = 8,219.34

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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.