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Finding the Fourth Proportional to 7,983.40, 11,017.08 and 4,446.92

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Solution

The fourth proportional to 7,983.40, 11,017.08 and 4,446.92 is: 6,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.40 : 11,017.08 = 4,446.92 : x
  2. Step 2: Convert to fraction form
    7,983.40/11,017.08 = 4,446.92/x
  3. Step 3: Cross multiply
    7,983.40x = 11,017.08 × 4,446.92
  4. Step 4: Simplify right side
    7,983.40x = 48,992,073.39
  5. Step 5: Solve for x
    x = 48,992,073.39/7,983.40
  6. Step 6: Final answer
    x = 6,136.74

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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.