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Finding the Fourth Proportional to 12,003.63, 18,011.92 and 5,847.63

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Solution

The fourth proportional to 12,003.63, 18,011.92 and 5,847.63 is: 8,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.63 : 18,011.92 = 5,847.63 : x
  2. Step 2: Convert to fraction form
    12,003.63/18,011.92 = 5,847.63/x
  3. Step 3: Cross multiply
    12,003.63x = 18,011.92 × 5,847.63
  4. Step 4: Simplify right side
    12,003.63x = 105,327,043.75
  5. Step 5: Solve for x
    x = 105,327,043.75/12,003.63
  6. Step 6: Final answer
    x = 8,774.60

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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.