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Finding the Fourth Proportional to 5,817.08, 8,023.93 and 5,072.83

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Solution

The fourth proportional to 5,817.08, 8,023.93 and 5,072.83 is: 6,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.08 : 8,023.93 = 5,072.83 : x
  2. Step 2: Convert to fraction form
    5,817.08/8,023.93 = 5,072.83/x
  3. Step 3: Cross multiply
    5,817.08x = 8,023.93 × 5,072.83
  4. Step 4: Simplify right side
    5,817.08x = 40,704,000.08
  5. Step 5: Solve for x
    x = 40,704,000.08/5,817.08
  6. Step 6: Final answer
    x = 6,997.32

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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.