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Finding the Fourth Proportional to 11,451.16, 17,154.38 and 7,892.65

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Solution

The fourth proportional to 11,451.16, 17,154.38 and 7,892.65 is: 11,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.16 : 17,154.38 = 7,892.65 : x
  2. Step 2: Convert to fraction form
    11,451.16/17,154.38 = 7,892.65/x
  3. Step 3: Cross multiply
    11,451.16x = 17,154.38 × 7,892.65
  4. Step 4: Simplify right side
    11,451.16x = 135,393,517.31
  5. Step 5: Solve for x
    x = 135,393,517.31/11,451.16
  6. Step 6: Final answer
    x = 11,823.56

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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.