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Finding the Fourth Proportional to 8,003.49, 12,002.20 and 3,842.32

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Solution

The fourth proportional to 8,003.49, 12,002.20 and 3,842.32 is: 5,762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.49 : 12,002.20 = 3,842.32 : x
  2. Step 2: Convert to fraction form
    8,003.49/12,002.20 = 3,842.32/x
  3. Step 3: Cross multiply
    8,003.49x = 12,002.20 × 3,842.32
  4. Step 4: Simplify right side
    8,003.49x = 46,116,273.89
  5. Step 5: Solve for x
    x = 46,116,273.89/8,003.49
  6. Step 6: Final answer
    x = 5,762.02

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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.