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Finding the Fourth Proportional to 8,678.10, 11,977.96 and 7,792.36

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Solution

The fourth proportional to 8,678.10, 11,977.96 and 7,792.36 is: 10,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.10 : 11,977.96 = 7,792.36 : x
  2. Step 2: Convert to fraction form
    8,678.10/11,977.96 = 7,792.36/x
  3. Step 3: Cross multiply
    8,678.10x = 11,977.96 × 7,792.36
  4. Step 4: Simplify right side
    8,678.10x = 93,336,576.39
  5. Step 5: Solve for x
    x = 93,336,576.39/8,678.10
  6. Step 6: Final answer
    x = 10,755.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.