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Finding the Fourth Proportional to 10,198.62, 14,077.94 and 8,777.07

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Solution

The fourth proportional to 10,198.62, 14,077.94 and 8,777.07 is: 12,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.62 : 14,077.94 = 8,777.07 : x
  2. Step 2: Convert to fraction form
    10,198.62/14,077.94 = 8,777.07/x
  3. Step 3: Cross multiply
    10,198.62x = 14,077.94 × 8,777.07
  4. Step 4: Simplify right side
    10,198.62x = 123,563,020.95
  5. Step 5: Solve for x
    x = 123,563,020.95/10,198.62
  6. Step 6: Final answer
    x = 12,115.66

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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.