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Finding the Fourth Proportional to 10,361.44, 15,543.16 and 4,120.06

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Solution

The fourth proportional to 10,361.44, 15,543.16 and 4,120.06 is: 6,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.44 : 15,543.16 = 4,120.06 : x
  2. Step 2: Convert to fraction form
    10,361.44/15,543.16 = 4,120.06/x
  3. Step 3: Cross multiply
    10,361.44x = 15,543.16 × 4,120.06
  4. Step 4: Simplify right side
    10,361.44x = 64,038,770.05
  5. Step 5: Solve for x
    x = 64,038,770.05/10,361.44
  6. Step 6: Final answer
    x = 6,180.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.