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Finding the Fourth Proportional to 8,485.50, 12,723.13 and 3,804.66

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Solution

The fourth proportional to 8,485.50, 12,723.13 and 3,804.66 is: 5,704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.50 : 12,723.13 = 3,804.66 : x
  2. Step 2: Convert to fraction form
    8,485.50/12,723.13 = 3,804.66/x
  3. Step 3: Cross multiply
    8,485.50x = 12,723.13 × 3,804.66
  4. Step 4: Simplify right side
    8,485.50x = 48,407,101.15
  5. Step 5: Solve for x
    x = 48,407,101.15/8,485.50
  6. Step 6: Final answer
    x = 5,704.69

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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.