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Finding the Fourth Proportional to 10,269.38, 15,394.74 and 5,333.24

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Solution

The fourth proportional to 10,269.38, 15,394.74 and 5,333.24 is: 7,995.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.38 : 15,394.74 = 5,333.24 : x
  2. Step 2: Convert to fraction form
    10,269.38/15,394.74 = 5,333.24/x
  3. Step 3: Cross multiply
    10,269.38x = 15,394.74 × 5,333.24
  4. Step 4: Simplify right side
    10,269.38x = 82,103,843.16
  5. Step 5: Solve for x
    x = 82,103,843.16/10,269.38
  6. Step 6: Final answer
    x = 7,995.01

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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.