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Finding the Fourth Proportional to 8,238.50, 12,361.98 and 4,543.64

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Solution

The fourth proportional to 8,238.50, 12,361.98 and 4,543.64 is: 6,817.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.50 : 12,361.98 = 4,543.64 : x
  2. Step 2: Convert to fraction form
    8,238.50/12,361.98 = 4,543.64/x
  3. Step 3: Cross multiply
    8,238.50x = 12,361.98 × 4,543.64
  4. Step 4: Simplify right side
    8,238.50x = 56,168,386.81
  5. Step 5: Solve for x
    x = 56,168,386.81/8,238.50
  6. Step 6: Final answer
    x = 6,817.79

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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.