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Finding the Fourth Proportional to 7,983.12, 11,017.17 and 4,446.42

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Solution

The fourth proportional to 7,983.12, 11,017.17 and 4,446.42 is: 6,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.12 : 11,017.17 = 4,446.42 : x
  2. Step 2: Convert to fraction form
    7,983.12/11,017.17 = 4,446.42/x
  3. Step 3: Cross multiply
    7,983.12x = 11,017.17 × 4,446.42
  4. Step 4: Simplify right side
    7,983.12x = 48,986,965.03
  5. Step 5: Solve for x
    x = 48,986,965.03/7,983.12
  6. Step 6: Final answer
    x = 6,136.32

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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.