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Finding the Fourth Proportional to 10,287.94, 15,431.91 and 2,893.15

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Solution

The fourth proportional to 10,287.94, 15,431.91 and 2,893.15 is: 4,339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.94 : 15,431.91 = 2,893.15 : x
  2. Step 2: Convert to fraction form
    10,287.94/15,431.91 = 2,893.15/x
  3. Step 3: Cross multiply
    10,287.94x = 15,431.91 × 2,893.15
  4. Step 4: Simplify right side
    10,287.94x = 44,646,830.42
  5. Step 5: Solve for x
    x = 44,646,830.42/10,287.94
  6. Step 6: Final answer
    x = 4,339.73

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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.