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Finding the Fourth Proportional to 8,051.67, 12,077.91 and 2,208.15

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Solution

The fourth proportional to 8,051.67, 12,077.91 and 2,208.15 is: 3,312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.67 : 12,077.91 = 2,208.15 : x
  2. Step 2: Convert to fraction form
    8,051.67/12,077.91 = 2,208.15/x
  3. Step 3: Cross multiply
    8,051.67x = 12,077.91 × 2,208.15
  4. Step 4: Simplify right side
    8,051.67x = 26,669,836.97
  5. Step 5: Solve for x
    x = 26,669,836.97/8,051.67
  6. Step 6: Final answer
    x = 3,312.34

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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.