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Finding the Fourth Proportional to 7,178.04, 9,906.15 and 3,991.37

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Solution

The fourth proportional to 7,178.04, 9,906.15 and 3,991.37 is: 5,508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.04 : 9,906.15 = 3,991.37 : x
  2. Step 2: Convert to fraction form
    7,178.04/9,906.15 = 3,991.37/x
  3. Step 3: Cross multiply
    7,178.04x = 9,906.15 × 3,991.37
  4. Step 4: Simplify right side
    7,178.04x = 39,539,109.93
  5. Step 5: Solve for x
    x = 39,539,109.93/7,178.04
  6. Step 6: Final answer
    x = 5,508.34

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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.