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Finding the Fourth Proportional to 8,286.65, 12,430.66 and 3,606.81

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Solution

The fourth proportional to 8,286.65, 12,430.66 and 3,606.81 is: 5,410.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.65 : 12,430.66 = 3,606.81 : x
  2. Step 2: Convert to fraction form
    8,286.65/12,430.66 = 3,606.81/x
  3. Step 3: Cross multiply
    8,286.65x = 12,430.66 × 3,606.81
  4. Step 4: Simplify right side
    8,286.65x = 44,835,028.79
  5. Step 5: Solve for x
    x = 44,835,028.79/8,286.65
  6. Step 6: Final answer
    x = 5,410.51

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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.