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Finding the Fourth Proportional to 12,075.36, 18,116.97 and 5,836.08

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Solution

The fourth proportional to 12,075.36, 18,116.97 and 5,836.08 is: 8,756.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.36 : 18,116.97 = 5,836.08 : x
  2. Step 2: Convert to fraction form
    12,075.36/18,116.97 = 5,836.08/x
  3. Step 3: Cross multiply
    12,075.36x = 18,116.97 × 5,836.08
  4. Step 4: Simplify right side
    12,075.36x = 105,732,086.28
  5. Step 5: Solve for x
    x = 105,732,086.28/12,075.36
  6. Step 6: Final answer
    x = 8,756.02

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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.