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Finding the Fourth Proportional to 6,441.53, 8,896.32 and 5,186.75

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Solution

The fourth proportional to 6,441.53, 8,896.32 and 5,186.75 is: 7,163.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.53 : 8,896.32 = 5,186.75 : x
  2. Step 2: Convert to fraction form
    6,441.53/8,896.32 = 5,186.75/x
  3. Step 3: Cross multiply
    6,441.53x = 8,896.32 × 5,186.75
  4. Step 4: Simplify right side
    6,441.53x = 46,142,943.28
  5. Step 5: Solve for x
    x = 46,142,943.28/6,441.53
  6. Step 6: Final answer
    x = 7,163.36

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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.