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Finding the Fourth Proportional to 11,760.57, 16,229.03 and 6,455.30

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Solution

The fourth proportional to 11,760.57, 16,229.03 and 6,455.30 is: 8,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.57 : 16,229.03 = 6,455.30 : x
  2. Step 2: Convert to fraction form
    11,760.57/16,229.03 = 6,455.30/x
  3. Step 3: Cross multiply
    11,760.57x = 16,229.03 × 6,455.30
  4. Step 4: Simplify right side
    11,760.57x = 104,763,143.94
  5. Step 5: Solve for x
    x = 104,763,143.94/11,760.57
  6. Step 6: Final answer
    x = 8,908.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.