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Finding the Fourth Proportional to 8,410.10, 12,609.24 and 3,727.56

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Solution

The fourth proportional to 8,410.10, 12,609.24 and 3,727.56 is: 5,588.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.10 : 12,609.24 = 3,727.56 : x
  2. Step 2: Convert to fraction form
    8,410.10/12,609.24 = 3,727.56/x
  3. Step 3: Cross multiply
    8,410.10x = 12,609.24 × 3,727.56
  4. Step 4: Simplify right side
    8,410.10x = 47,001,698.65
  5. Step 5: Solve for x
    x = 47,001,698.65/8,410.10
  6. Step 6: Final answer
    x = 5,588.72

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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.