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Finding the Fourth Proportional to 8,464.50, 12,699.18 and 3,271.86

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Solution

The fourth proportional to 8,464.50, 12,699.18 and 3,271.86 is: 4,908.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.50 : 12,699.18 = 3,271.86 : x
  2. Step 2: Convert to fraction form
    8,464.50/12,699.18 = 3,271.86/x
  3. Step 3: Cross multiply
    8,464.50x = 12,699.18 × 3,271.86
  4. Step 4: Simplify right side
    8,464.50x = 41,549,939.07
  5. Step 5: Solve for x
    x = 41,549,939.07/8,464.50
  6. Step 6: Final answer
    x = 4,908.73

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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.