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Finding the Fourth Proportional to 8,681.64, 13,022.49 and 2,107.82

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Solution

The fourth proportional to 8,681.64, 13,022.49 and 2,107.82 is: 3,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.64 : 13,022.49 = 2,107.82 : x
  2. Step 2: Convert to fraction form
    8,681.64/13,022.49 = 2,107.82/x
  3. Step 3: Cross multiply
    8,681.64x = 13,022.49 × 2,107.82
  4. Step 4: Simplify right side
    8,681.64x = 27,448,999.76
  5. Step 5: Solve for x
    x = 27,448,999.76/8,681.64
  6. Step 6: Final answer
    x = 3,161.73

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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.