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Finding the Fourth Proportional to 8,189.02, 11,300.85 and 4,463.02

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Solution

The fourth proportional to 8,189.02, 11,300.85 and 4,463.02 is: 6,158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.02 : 11,300.85 = 4,463.02 : x
  2. Step 2: Convert to fraction form
    8,189.02/11,300.85 = 4,463.02/x
  3. Step 3: Cross multiply
    8,189.02x = 11,300.85 × 4,463.02
  4. Step 4: Simplify right side
    8,189.02x = 50,435,870.13
  5. Step 5: Solve for x
    x = 50,435,870.13/8,189.02
  6. Step 6: Final answer
    x = 6,158.97

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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.