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Finding the Fourth Proportional to 8,103.94, 12,157.96 and 2,260.55

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Solution

The fourth proportional to 8,103.94, 12,157.96 and 2,260.55 is: 3,391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.94 : 12,157.96 = 2,260.55 : x
  2. Step 2: Convert to fraction form
    8,103.94/12,157.96 = 2,260.55/x
  3. Step 3: Cross multiply
    8,103.94x = 12,157.96 × 2,260.55
  4. Step 4: Simplify right side
    8,103.94x = 27,483,637.07
  5. Step 5: Solve for x
    x = 27,483,637.07/8,103.94
  6. Step 6: Final answer
    x = 3,391.39

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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.