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Finding the Fourth Proportional to 10,287.44, 15,431.16 and 2,892.65

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Solution

The fourth proportional to 10,287.44, 15,431.16 and 2,892.65 is: 4,338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.44 : 15,431.16 = 2,892.65 : x
  2. Step 2: Convert to fraction form
    10,287.44/15,431.16 = 2,892.65/x
  3. Step 3: Cross multiply
    10,287.44x = 15,431.16 × 2,892.65
  4. Step 4: Simplify right side
    10,287.44x = 44,636,944.97
  5. Step 5: Solve for x
    x = 44,636,944.97/10,287.44
  6. Step 6: Final answer
    x = 4,338.98

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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.