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Finding the Fourth Proportional to 7,265.94, 10,896.50 and 2,823.29

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Solution

The fourth proportional to 7,265.94, 10,896.50 and 2,823.29 is: 4,234.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.94 : 10,896.50 = 2,823.29 : x
  2. Step 2: Convert to fraction form
    7,265.94/10,896.50 = 2,823.29/x
  3. Step 3: Cross multiply
    7,265.94x = 10,896.50 × 2,823.29
  4. Step 4: Simplify right side
    7,265.94x = 30,763,959.30
  5. Step 5: Solve for x
    x = 30,763,959.30/7,265.94
  6. Step 6: Final answer
    x = 4,234.00

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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.