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Finding the Fourth Proportional to 7,375.38, 10,178.31 and 4,232.16

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Solution

The fourth proportional to 7,375.38, 10,178.31 and 4,232.16 is: 5,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,375.38 : 10,178.31 = 4,232.16 : x
  2. Step 2: Convert to fraction form
    7,375.38/10,178.31 = 4,232.16/x
  3. Step 3: Cross multiply
    7,375.38x = 10,178.31 × 4,232.16
  4. Step 4: Simplify right side
    7,375.38x = 43,076,236.45
  5. Step 5: Solve for x
    x = 43,076,236.45/7,375.38
  6. Step 6: Final answer
    x = 5,840.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.