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Finding the Fourth Proportional to 10,072.74, 15,103.01 and 3,833.18

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Solution

The fourth proportional to 10,072.74, 15,103.01 and 3,833.18 is: 5,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.74 : 15,103.01 = 3,833.18 : x
  2. Step 2: Convert to fraction form
    10,072.74/15,103.01 = 3,833.18/x
  3. Step 3: Cross multiply
    10,072.74x = 15,103.01 × 3,833.18
  4. Step 4: Simplify right side
    10,072.74x = 57,892,525.01
  5. Step 5: Solve for x
    x = 57,892,525.01/10,072.74
  6. Step 6: Final answer
    x = 5,747.44

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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.