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Finding the Fourth Proportional to 11,202.60, 16,779.60 and 6,828.60

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Solution

The fourth proportional to 11,202.60, 16,779.60 and 6,828.60 is: 10,228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.60 : 16,779.60 = 6,828.60 : x
  2. Step 2: Convert to fraction form
    11,202.60/16,779.60 = 6,828.60/x
  3. Step 3: Cross multiply
    11,202.60x = 16,779.60 × 6,828.60
  4. Step 4: Simplify right side
    11,202.60x = 114,581,176.56
  5. Step 5: Solve for x
    x = 114,581,176.56/11,202.60
  6. Step 6: Final answer
    x = 10,228.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.