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Finding the Fourth Proportional to 11,964.40, 16,514.04 and 8,429.20

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Solution

The fourth proportional to 11,964.40, 16,514.04 and 8,429.20 is: 11,634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.40 : 16,514.04 = 8,429.20 : x
  2. Step 2: Convert to fraction form
    11,964.40/16,514.04 = 8,429.20/x
  3. Step 3: Cross multiply
    11,964.40x = 16,514.04 × 8,429.20
  4. Step 4: Simplify right side
    11,964.40x = 139,200,145.97
  5. Step 5: Solve for x
    x = 139,200,145.97/11,964.40
  6. Step 6: Final answer
    x = 11,634.53

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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.