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Finding the Fourth Proportional to 11,757.77, 16,219.94 and 8,566.10

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Solution

The fourth proportional to 11,757.77, 16,219.94 and 8,566.10 is: 11,817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.77 : 16,219.94 = 8,566.10 : x
  2. Step 2: Convert to fraction form
    11,757.77/16,219.94 = 8,566.10/x
  3. Step 3: Cross multiply
    11,757.77x = 16,219.94 × 8,566.10
  4. Step 4: Simplify right side
    11,757.77x = 138,941,504.10
  5. Step 5: Solve for x
    x = 138,941,504.10/11,757.77
  6. Step 6: Final answer
    x = 11,817.00

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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.