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Finding the Fourth Proportional to 8,361.10, 12,543.83 and 2,437.86

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Solution

The fourth proportional to 8,361.10, 12,543.83 and 2,437.86 is: 3,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.10 : 12,543.83 = 2,437.86 : x
  2. Step 2: Convert to fraction form
    8,361.10/12,543.83 = 2,437.86/x
  3. Step 3: Cross multiply
    8,361.10x = 12,543.83 × 2,437.86
  4. Step 4: Simplify right side
    8,361.10x = 30,580,101.40
  5. Step 5: Solve for x
    x = 30,580,101.40/8,361.10
  6. Step 6: Final answer
    x = 3,657.43

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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.