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Finding the Fourth Proportional to 8,000.24, 12,000.60 and 2,807.60

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Solution

The fourth proportional to 8,000.24, 12,000.60 and 2,807.60 is: 4,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.24 : 12,000.60 = 2,807.60 : x
  2. Step 2: Convert to fraction form
    8,000.24/12,000.60 = 2,807.60/x
  3. Step 3: Cross multiply
    8,000.24x = 12,000.60 × 2,807.60
  4. Step 4: Simplify right side
    8,000.24x = 33,692,884.56
  5. Step 5: Solve for x
    x = 33,692,884.56/8,000.24
  6. Step 6: Final answer
    x = 4,211.48

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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.