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Finding the Fourth Proportional to 11,075, 15,265.68 and 8,086.10

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Solution

The fourth proportional to 11,075, 15,265.68 and 8,086.10 is: 11,145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,075 : 15,265.68 = 8,086.10 : x
  2. Step 2: Convert to fraction form
    11,075/15,265.68 = 8,086.10/x
  3. Step 3: Cross multiply
    11,075x = 15,265.68 × 8,086.10
  4. Step 4: Simplify right side
    11,075x = 123,439,815.05
  5. Step 5: Solve for x
    x = 123,439,815.05/11,075
  6. Step 6: Final answer
    x = 11,145.81

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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.