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Finding the Fourth Proportional to 8,128.50, 12,192.78 and 1,972.50

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Solution

The fourth proportional to 8,128.50, 12,192.78 and 1,972.50 is: 2,958.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.50 : 12,192.78 = 1,972.50 : x
  2. Step 2: Convert to fraction form
    8,128.50/12,192.78 = 1,972.50/x
  3. Step 3: Cross multiply
    8,128.50x = 12,192.78 × 1,972.50
  4. Step 4: Simplify right side
    8,128.50x = 24,050,258.55
  5. Step 5: Solve for x
    x = 24,050,258.55/8,128.50
  6. Step 6: Final answer
    x = 2,958.76

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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.