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Finding the Fourth Proportional to 6,185.54, 8,529.96 and 5,673.30

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Solution

The fourth proportional to 6,185.54, 8,529.96 and 5,673.30 is: 7,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.54 : 8,529.96 = 5,673.30 : x
  2. Step 2: Convert to fraction form
    6,185.54/8,529.96 = 5,673.30/x
  3. Step 3: Cross multiply
    6,185.54x = 8,529.96 × 5,673.30
  4. Step 4: Simplify right side
    6,185.54x = 48,393,022.07
  5. Step 5: Solve for x
    x = 48,393,022.07/6,185.54
  6. Step 6: Final answer
    x = 7,823.57

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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.