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Finding the Fourth Proportional to 8,451.50, 12,678.93 and 2,607.86

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Solution

The fourth proportional to 8,451.50, 12,678.93 and 2,607.86 is: 3,912.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.50 : 12,678.93 = 2,607.86 : x
  2. Step 2: Convert to fraction form
    8,451.50/12,678.93 = 2,607.86/x
  3. Step 3: Cross multiply
    8,451.50x = 12,678.93 × 2,607.86
  4. Step 4: Simplify right side
    8,451.50x = 33,064,874.39
  5. Step 5: Solve for x
    x = 33,064,874.39/8,451.50
  6. Step 6: Final answer
    x = 3,912.31

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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.