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Finding the Fourth Proportional to 11,760.30, 17,621.55 and 6,206.40

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Solution

The fourth proportional to 11,760.30, 17,621.55 and 6,206.40 is: 9,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.30 : 17,621.55 = 6,206.40 : x
  2. Step 2: Convert to fraction form
    11,760.30/17,621.55 = 6,206.40/x
  3. Step 3: Cross multiply
    11,760.30x = 17,621.55 × 6,206.40
  4. Step 4: Simplify right side
    11,760.30x = 109,366,387.92
  5. Step 5: Solve for x
    x = 109,366,387.92/11,760.30
  6. Step 6: Final answer
    x = 9,299.63

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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.