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Finding the Fourth Proportional to 5,381.12, 8,083.98 and 5,159.96

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Solution

The fourth proportional to 5,381.12, 8,083.98 and 5,159.96 is: 7,751.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.12 : 8,083.98 = 5,159.96 : x
  2. Step 2: Convert to fraction form
    5,381.12/8,083.98 = 5,159.96/x
  3. Step 3: Cross multiply
    5,381.12x = 8,083.98 × 5,159.96
  4. Step 4: Simplify right side
    5,381.12x = 41,713,013.44
  5. Step 5: Solve for x
    x = 41,713,013.44/5,381.12
  6. Step 6: Final answer
    x = 7,751.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.