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Finding the Fourth Proportional to 8,002.70, 12,008.37 and 3,623.30

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Solution

The fourth proportional to 8,002.70, 12,008.37 and 3,623.30 is: 5,436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.70 : 12,008.37 = 3,623.30 : x
  2. Step 2: Convert to fraction form
    8,002.70/12,008.37 = 3,623.30/x
  3. Step 3: Cross multiply
    8,002.70x = 12,008.37 × 3,623.30
  4. Step 4: Simplify right side
    8,002.70x = 43,509,927.02
  5. Step 5: Solve for x
    x = 43,509,927.02/8,002.70
  6. Step 6: Final answer
    x = 5,436.91

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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.