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Finding the Fourth Proportional to 8,361.12, 11,546.16 and 5,382.13

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Solution

The fourth proportional to 8,361.12, 11,546.16 and 5,382.13 is: 7,432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.12 : 11,546.16 = 5,382.13 : x
  2. Step 2: Convert to fraction form
    8,361.12/11,546.16 = 5,382.13/x
  3. Step 3: Cross multiply
    8,361.12x = 11,546.16 × 5,382.13
  4. Step 4: Simplify right side
    8,361.12x = 62,142,934.12
  5. Step 5: Solve for x
    x = 62,142,934.12/8,361.12
  6. Step 6: Final answer
    x = 7,432.37

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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.