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Finding the Fourth Proportional to 11,917.94, 16,449.10 and 6,885.42

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Solution

The fourth proportional to 11,917.94, 16,449.10 and 6,885.42 is: 9,503.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.94 : 16,449.10 = 6,885.42 : x
  2. Step 2: Convert to fraction form
    11,917.94/16,449.10 = 6,885.42/x
  3. Step 3: Cross multiply
    11,917.94x = 16,449.10 × 6,885.42
  4. Step 4: Simplify right side
    11,917.94x = 113,258,962.12
  5. Step 5: Solve for x
    x = 113,258,962.12/11,917.94
  6. Step 6: Final answer
    x = 9,503.23

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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.