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Finding the Fourth Proportional to 5,993.19, 8,304.12 and 5,857.11

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Solution

The fourth proportional to 5,993.19, 8,304.12 and 5,857.11 is: 8,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.19 : 8,304.12 = 5,857.11 : x
  2. Step 2: Convert to fraction form
    5,993.19/8,304.12 = 5,857.11/x
  3. Step 3: Cross multiply
    5,993.19x = 8,304.12 × 5,857.11
  4. Step 4: Simplify right side
    5,993.19x = 48,638,144.29
  5. Step 5: Solve for x
    x = 48,638,144.29/5,993.19
  6. Step 6: Final answer
    x = 8,115.57

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.