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Finding the Fourth Proportional to 5,816.74, 8,023.50 and 5,072.48

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Solution

The fourth proportional to 5,816.74, 8,023.50 and 5,072.48 is: 6,996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.74 : 8,023.50 = 5,072.48 : x
  2. Step 2: Convert to fraction form
    5,816.74/8,023.50 = 5,072.48/x
  3. Step 3: Cross multiply
    5,816.74x = 8,023.50 × 5,072.48
  4. Step 4: Simplify right side
    5,816.74x = 40,699,037.98
  5. Step 5: Solve for x
    x = 40,699,037.98/5,816.74
  6. Step 6: Final answer
    x = 6,996.88

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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.