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Finding the Fourth Proportional to 8,576.71, 12,851.78 and 5,949.33

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Solution

The fourth proportional to 8,576.71, 12,851.78 and 5,949.33 is: 8,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.71 : 12,851.78 = 5,949.33 : x
  2. Step 2: Convert to fraction form
    8,576.71/12,851.78 = 5,949.33/x
  3. Step 3: Cross multiply
    8,576.71x = 12,851.78 × 5,949.33
  4. Step 4: Simplify right side
    8,576.71x = 76,459,430.92
  5. Step 5: Solve for x
    x = 76,459,430.92/8,576.71
  6. Step 6: Final answer
    x = 8,914.77

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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.