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Finding the Fourth Proportional to 8,375.14, 12,564.08 and 2,828.81

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Solution

The fourth proportional to 8,375.14, 12,564.08 and 2,828.81 is: 4,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,375.14 : 12,564.08 = 2,828.81 : x
  2. Step 2: Convert to fraction form
    8,375.14/12,564.08 = 2,828.81/x
  3. Step 3: Cross multiply
    8,375.14x = 12,564.08 × 2,828.81
  4. Step 4: Simplify right side
    8,375.14x = 35,541,412.41
  5. Step 5: Solve for x
    x = 35,541,412.41/8,375.14
  6. Step 6: Final answer
    x = 4,243.68

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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.