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Finding the Fourth Proportional to 8,051.40, 12,072.24 and 3,664.44

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Solution

The fourth proportional to 8,051.40, 12,072.24 and 3,664.44 is: 5,494.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.40 : 12,072.24 = 3,664.44 : x
  2. Step 2: Convert to fraction form
    8,051.40/12,072.24 = 3,664.44/x
  3. Step 3: Cross multiply
    8,051.40x = 12,072.24 × 3,664.44
  4. Step 4: Simplify right side
    8,051.40x = 44,237,999.15
  5. Step 5: Solve for x
    x = 44,237,999.15/8,051.40
  6. Step 6: Final answer
    x = 5,494.45

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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.