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Finding the Fourth Proportional to 8,108.49, 12,166.52 and 7,977.45

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Solution

The fourth proportional to 8,108.49, 12,166.52 and 7,977.45 is: 11,969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.49 : 12,166.52 = 7,977.45 : x
  2. Step 2: Convert to fraction form
    8,108.49/12,166.52 = 7,977.45/x
  3. Step 3: Cross multiply
    8,108.49x = 12,166.52 × 7,977.45
  4. Step 4: Simplify right side
    8,108.49x = 97,057,765.09
  5. Step 5: Solve for x
    x = 97,057,765.09/8,108.49
  6. Step 6: Final answer
    x = 11,969.89

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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.