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Finding the Fourth Proportional to 11,836.97, 16,335.03 and 6,459.42

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Solution

The fourth proportional to 11,836.97, 16,335.03 and 6,459.42 is: 8,914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836.97 : 16,335.03 = 6,459.42 : x
  2. Step 2: Convert to fraction form
    11,836.97/16,335.03 = 6,459.42/x
  3. Step 3: Cross multiply
    11,836.97x = 16,335.03 × 6,459.42
  4. Step 4: Simplify right side
    11,836.97x = 105,514,819.48
  5. Step 5: Solve for x
    x = 105,514,819.48/11,836.97
  6. Step 6: Final answer
    x = 8,914.01

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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.