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Finding the Fourth Proportional to 7,851.80, 11,779.32 and 3,411.38

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Solution

The fourth proportional to 7,851.80, 11,779.32 and 3,411.38 is: 5,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.80 : 11,779.32 = 3,411.38 : x
  2. Step 2: Convert to fraction form
    7,851.80/11,779.32 = 3,411.38/x
  3. Step 3: Cross multiply
    7,851.80x = 11,779.32 × 3,411.38
  4. Step 4: Simplify right side
    7,851.80x = 40,183,736.66
  5. Step 5: Solve for x
    x = 40,183,736.66/7,851.80
  6. Step 6: Final answer
    x = 5,117.77

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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.