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Finding the Fourth Proportional to 8,676.33, 13,006.29 and 7,880.81

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Solution

The fourth proportional to 8,676.33, 13,006.29 and 7,880.81 is: 11,813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.33 : 13,006.29 = 7,880.81 : x
  2. Step 2: Convert to fraction form
    8,676.33/13,006.29 = 7,880.81/x
  3. Step 3: Cross multiply
    8,676.33x = 13,006.29 × 7,880.81
  4. Step 4: Simplify right side
    8,676.33x = 102,500,035.26
  5. Step 5: Solve for x
    x = 102,500,035.26/8,676.33
  6. Step 6: Final answer
    x = 11,813.75

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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.