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Finding the Fourth Proportional to 8,676.90, 13,020.53 and 7,971.07

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Solution

The fourth proportional to 8,676.90, 13,020.53 and 7,971.07 is: 11,961.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.90 : 13,020.53 = 7,971.07 : x
  2. Step 2: Convert to fraction form
    8,676.90/13,020.53 = 7,971.07/x
  3. Step 3: Cross multiply
    8,676.90x = 13,020.53 × 7,971.07
  4. Step 4: Simplify right side
    8,676.90x = 103,787,516.21
  5. Step 5: Solve for x
    x = 103,787,516.21/8,676.90
  6. Step 6: Final answer
    x = 11,961.37

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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.