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Finding the Fourth Proportional to 11,779.96, 16,258.71 and 6,998.99

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Solution

The fourth proportional to 11,779.96, 16,258.71 and 6,998.99 is: 9,660.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.96 : 16,258.71 = 6,998.99 : x
  2. Step 2: Convert to fraction form
    11,779.96/16,258.71 = 6,998.99/x
  3. Step 3: Cross multiply
    11,779.96x = 16,258.71 × 6,998.99
  4. Step 4: Simplify right side
    11,779.96x = 113,794,524.14
  5. Step 5: Solve for x
    x = 113,794,524.14/11,779.96
  6. Step 6: Final answer
    x = 9,660.01

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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.