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Finding the Fourth Proportional to 7,983.62, 11,017.11 and 4,446.64

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Solution

The fourth proportional to 7,983.62, 11,017.11 and 4,446.64 is: 6,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.62 : 11,017.11 = 4,446.64 : x
  2. Step 2: Convert to fraction form
    7,983.62/11,017.11 = 4,446.64/x
  3. Step 3: Cross multiply
    7,983.62x = 11,017.11 × 4,446.64
  4. Step 4: Simplify right side
    7,983.62x = 48,989,122.01
  5. Step 5: Solve for x
    x = 48,989,122.01/7,983.62
  6. Step 6: Final answer
    x = 6,136.20

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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.