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Finding the Fourth Proportional to 8,057.07, 12,081.56 and 3,897.32

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Solution

The fourth proportional to 8,057.07, 12,081.56 and 3,897.32 is: 5,844.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.07 : 12,081.56 = 3,897.32 : x
  2. Step 2: Convert to fraction form
    8,057.07/12,081.56 = 3,897.32/x
  3. Step 3: Cross multiply
    8,057.07x = 12,081.56 × 3,897.32
  4. Step 4: Simplify right side
    8,057.07x = 47,085,625.52
  5. Step 5: Solve for x
    x = 47,085,625.52/8,057.07
  6. Step 6: Final answer
    x = 5,844.01

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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.