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Finding the Fourth Proportional to 7,168.80, 9,892.05 and 3,982.08

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Solution

The fourth proportional to 7,168.80, 9,892.05 and 3,982.08 is: 5,494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.80 : 9,892.05 = 3,982.08 : x
  2. Step 2: Convert to fraction form
    7,168.80/9,892.05 = 3,982.08/x
  3. Step 3: Cross multiply
    7,168.80x = 9,892.05 × 3,982.08
  4. Step 4: Simplify right side
    7,168.80x = 39,390,934.46
  5. Step 5: Solve for x
    x = 39,390,934.46/7,168.80
  6. Step 6: Final answer
    x = 5,494.77

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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.