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Finding the Fourth Proportional to 10,286.10, 15,425.55 and 5,354.10

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Solution

The fourth proportional to 10,286.10, 15,425.55 and 5,354.10 is: 8,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.10 : 15,425.55 = 5,354.10 : x
  2. Step 2: Convert to fraction form
    10,286.10/15,425.55 = 5,354.10/x
  3. Step 3: Cross multiply
    10,286.10x = 15,425.55 × 5,354.10
  4. Step 4: Simplify right side
    10,286.10x = 82,589,937.26
  5. Step 5: Solve for x
    x = 82,589,937.26/10,286.10
  6. Step 6: Final answer
    x = 8,029.28

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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.