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Finding the Fourth Proportional to 10,294.64, 15,436.10 and 3,273.30

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Solution

The fourth proportional to 10,294.64, 15,436.10 and 3,273.30 is: 4,908.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.64 : 15,436.10 = 3,273.30 : x
  2. Step 2: Convert to fraction form
    10,294.64/15,436.10 = 3,273.30/x
  3. Step 3: Cross multiply
    10,294.64x = 15,436.10 × 3,273.30
  4. Step 4: Simplify right side
    10,294.64x = 50,526,986.13
  5. Step 5: Solve for x
    x = 50,526,986.13/10,294.64
  6. Step 6: Final answer
    x = 4,908.09

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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.