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Finding the Fourth Proportional to 8,051.54, 12,063.63 and 3,893.50

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Solution

The fourth proportional to 8,051.54, 12,063.63 and 3,893.50 is: 5,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.54 : 12,063.63 = 3,893.50 : x
  2. Step 2: Convert to fraction form
    8,051.54/12,063.63 = 3,893.50/x
  3. Step 3: Cross multiply
    8,051.54x = 12,063.63 × 3,893.50
  4. Step 4: Simplify right side
    8,051.54x = 46,969,773.09
  5. Step 5: Solve for x
    x = 46,969,773.09/8,051.54
  6. Step 6: Final answer
    x = 5,833.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.