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Finding the Fourth Proportional to 8,189.03, 11,300.85 and 4,463.03

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Solution

The fourth proportional to 8,189.03, 11,300.85 and 4,463.03 is: 6,158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.03 : 11,300.85 = 4,463.03 : x
  2. Step 2: Convert to fraction form
    8,189.03/11,300.85 = 4,463.03/x
  3. Step 3: Cross multiply
    8,189.03x = 11,300.85 × 4,463.03
  4. Step 4: Simplify right side
    8,189.03x = 50,436,060.83
  5. Step 5: Solve for x
    x = 50,436,060.83/8,189.03
  6. Step 6: Final answer
    x = 6,158.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.