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Finding the Fourth Proportional to 11,695.20, 16,141.32 and 6,982.08

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Solution

The fourth proportional to 11,695.20, 16,141.32 and 6,982.08 is: 9,636.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.20 : 16,141.32 = 6,982.08 : x
  2. Step 2: Convert to fraction form
    11,695.20/16,141.32 = 6,982.08/x
  3. Step 3: Cross multiply
    11,695.20x = 16,141.32 × 6,982.08
  4. Step 4: Simplify right side
    11,695.20x = 112,699,987.55
  5. Step 5: Solve for x
    x = 112,699,987.55/11,695.20
  6. Step 6: Final answer
    x = 9,636.43

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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.