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Finding the Fourth Proportional to 6,779.48, 10,171.24 and 3,084.68

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Solution

The fourth proportional to 6,779.48, 10,171.24 and 3,084.68 is: 4,627.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.48 : 10,171.24 = 3,084.68 : x
  2. Step 2: Convert to fraction form
    6,779.48/10,171.24 = 3,084.68/x
  3. Step 3: Cross multiply
    6,779.48x = 10,171.24 × 3,084.68
  4. Step 4: Simplify right side
    6,779.48x = 31,375,020.60
  5. Step 5: Solve for x
    x = 31,375,020.60/6,779.48
  6. Step 6: Final answer
    x = 4,627.94

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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.