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Finding the Fourth Proportional to 8,681.56, 13,022.34 and 2,107.74

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Solution

The fourth proportional to 8,681.56, 13,022.34 and 2,107.74 is: 3,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.56 : 13,022.34 = 2,107.74 : x
  2. Step 2: Convert to fraction form
    8,681.56/13,022.34 = 2,107.74/x
  3. Step 3: Cross multiply
    8,681.56x = 13,022.34 × 2,107.74
  4. Step 4: Simplify right side
    8,681.56x = 27,447,696.37
  5. Step 5: Solve for x
    x = 27,447,696.37/8,681.56
  6. Step 6: Final answer
    x = 3,161.61

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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.