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Finding the Fourth Proportional to 7,351.53, 10,142.64 and 4,164.45

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Solution

The fourth proportional to 7,351.53, 10,142.64 and 4,164.45 is: 5,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351.53 : 10,142.64 = 4,164.45 : x
  2. Step 2: Convert to fraction form
    7,351.53/10,142.64 = 4,164.45/x
  3. Step 3: Cross multiply
    7,351.53x = 10,142.64 × 4,164.45
  4. Step 4: Simplify right side
    7,351.53x = 42,238,517.15
  5. Step 5: Solve for x
    x = 42,238,517.15/7,351.53
  6. Step 6: Final answer
    x = 5,745.54

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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.