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Finding the Fourth Proportional to 7,892.65, 11,842.62 and 3,511.36

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Solution

The fourth proportional to 7,892.65, 11,842.62 and 3,511.36 is: 5,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.65 : 11,842.62 = 3,511.36 : x
  2. Step 2: Convert to fraction form
    7,892.65/11,842.62 = 3,511.36/x
  3. Step 3: Cross multiply
    7,892.65x = 11,842.62 × 3,511.36
  4. Step 4: Simplify right side
    7,892.65x = 41,583,672.56
  5. Step 5: Solve for x
    x = 41,583,672.56/7,892.65
  6. Step 6: Final answer
    x = 5,268.66

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Why These Related Problems?

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