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Finding the Fourth Proportional to 8,101.78, 12,152.04 and 3,172.54

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Solution

The fourth proportional to 8,101.78, 12,152.04 and 3,172.54 is: 4,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.78 : 12,152.04 = 3,172.54 : x
  2. Step 2: Convert to fraction form
    8,101.78/12,152.04 = 3,172.54/x
  3. Step 3: Cross multiply
    8,101.78x = 12,152.04 × 3,172.54
  4. Step 4: Simplify right side
    8,101.78x = 38,552,832.98
  5. Step 5: Solve for x
    x = 38,552,832.98/8,101.78
  6. Step 6: Final answer
    x = 4,758.56

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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.