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Finding the Fourth Proportional to 11,964.14, 16,493.40 and 8,416.34

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Solution

The fourth proportional to 11,964.14, 16,493.40 and 8,416.34 is: 11,602.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.14 : 16,493.40 = 8,416.34 : x
  2. Step 2: Convert to fraction form
    11,964.14/16,493.40 = 8,416.34/x
  3. Step 3: Cross multiply
    11,964.14x = 16,493.40 × 8,416.34
  4. Step 4: Simplify right side
    11,964.14x = 138,814,062.16
  5. Step 5: Solve for x
    x = 138,814,062.16/11,964.14
  6. Step 6: Final answer
    x = 11,602.51

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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.