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Finding the Fourth Proportional to 10,222.75, 15,334.10 and 3,203.30

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Solution

The fourth proportional to 10,222.75, 15,334.10 and 3,203.30 is: 4,804.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.75 : 15,334.10 = 3,203.30 : x
  2. Step 2: Convert to fraction form
    10,222.75/15,334.10 = 3,203.30/x
  3. Step 3: Cross multiply
    10,222.75x = 15,334.10 × 3,203.30
  4. Step 4: Simplify right side
    10,222.75x = 49,119,711.37
  5. Step 5: Solve for x
    x = 49,119,711.37/10,222.75
  6. Step 6: Final answer
    x = 4,804.94

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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.