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Finding the Fourth Proportional to 11,779.78, 16,258.46 and 6,998.80

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Solution

The fourth proportional to 11,779.78, 16,258.46 and 6,998.80 is: 9,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.78 : 16,258.46 = 6,998.80 : x
  2. Step 2: Convert to fraction form
    11,779.78/16,258.46 = 6,998.80/x
  3. Step 3: Cross multiply
    11,779.78x = 16,258.46 × 6,998.80
  4. Step 4: Simplify right side
    11,779.78x = 113,789,671.78
  5. Step 5: Solve for x
    x = 113,789,671.78/11,779.78
  6. Step 6: Final answer
    x = 9,659.75

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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.