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Finding the Fourth Proportional to 11,768.04, 17,619.10 and 8,638.20

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Solution

The fourth proportional to 11,768.04, 17,619.10 and 8,638.20 is: 12,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.04 : 17,619.10 = 8,638.20 : x
  2. Step 2: Convert to fraction form
    11,768.04/17,619.10 = 8,638.20/x
  3. Step 3: Cross multiply
    11,768.04x = 17,619.10 × 8,638.20
  4. Step 4: Simplify right side
    11,768.04x = 152,197,309.62
  5. Step 5: Solve for x
    x = 152,197,309.62/11,768.04
  6. Step 6: Final answer
    x = 12,933.11

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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.