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Finding the Fourth Proportional to 8,071.41, 12,106.22 and 2,805.51

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Solution

The fourth proportional to 8,071.41, 12,106.22 and 2,805.51 is: 4,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.41 : 12,106.22 = 2,805.51 : x
  2. Step 2: Convert to fraction form
    8,071.41/12,106.22 = 2,805.51/x
  3. Step 3: Cross multiply
    8,071.41x = 12,106.22 × 2,805.51
  4. Step 4: Simplify right side
    8,071.41x = 33,964,107.24
  5. Step 5: Solve for x
    x = 33,964,107.24/8,071.41
  6. Step 6: Final answer
    x = 4,207.95

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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.