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Finding the Fourth Proportional to 8,564.33, 12,846.60 and 3,366.56

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Solution

The fourth proportional to 8,564.33, 12,846.60 and 3,366.56 is: 5,049.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.33 : 12,846.60 = 3,366.56 : x
  2. Step 2: Convert to fraction form
    8,564.33/12,846.60 = 3,366.56/x
  3. Step 3: Cross multiply
    8,564.33x = 12,846.60 × 3,366.56
  4. Step 4: Simplify right side
    8,564.33x = 43,248,881.81
  5. Step 5: Solve for x
    x = 43,248,881.81/8,564.33
  6. Step 6: Final answer
    x = 5,049.88

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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.