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Finding the Fourth Proportional to 7,851.69, 11,779.05 and 3,469.19

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Solution

The fourth proportional to 7,851.69, 11,779.05 and 3,469.19 is: 5,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.69 : 11,779.05 = 3,469.19 : x
  2. Step 2: Convert to fraction form
    7,851.69/11,779.05 = 3,469.19/x
  3. Step 3: Cross multiply
    7,851.69x = 11,779.05 × 3,469.19
  4. Step 4: Simplify right side
    7,851.69x = 40,863,703.57
  5. Step 5: Solve for x
    x = 40,863,703.57/7,851.69
  6. Step 6: Final answer
    x = 5,204.45

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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.