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Finding the Fourth Proportional to 10,682.29, 16,023.44 and 6,987.63

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Solution

The fourth proportional to 10,682.29, 16,023.44 and 6,987.63 is: 10,481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.29 : 16,023.44 = 6,987.63 : x
  2. Step 2: Convert to fraction form
    10,682.29/16,023.44 = 6,987.63/x
  3. Step 3: Cross multiply
    10,682.29x = 16,023.44 × 6,987.63
  4. Step 4: Simplify right side
    10,682.29x = 111,965,835.11
  5. Step 5: Solve for x
    x = 111,965,835.11/10,682.29
  6. Step 6: Final answer
    x = 10,481.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.