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Finding the Fourth Proportional to 10,203.25, 15,307.07 and 3,183.12

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Solution

The fourth proportional to 10,203.25, 15,307.07 and 3,183.12 is: 4,775.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.25 : 15,307.07 = 3,183.12 : x
  2. Step 2: Convert to fraction form
    10,203.25/15,307.07 = 3,183.12/x
  3. Step 3: Cross multiply
    10,203.25x = 15,307.07 × 3,183.12
  4. Step 4: Simplify right side
    10,203.25x = 48,724,240.66
  5. Step 5: Solve for x
    x = 48,724,240.66/10,203.25
  6. Step 6: Final answer
    x = 4,775.36

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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.