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Finding the Fourth Proportional to 8,173.36, 12,267.74 and 4,280.50

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Solution

The fourth proportional to 8,173.36, 12,267.74 and 4,280.50 is: 6,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173.36 : 12,267.74 = 4,280.50 : x
  2. Step 2: Convert to fraction form
    8,173.36/12,267.74 = 4,280.50/x
  3. Step 3: Cross multiply
    8,173.36x = 12,267.74 × 4,280.50
  4. Step 4: Simplify right side
    8,173.36x = 52,512,061.07
  5. Step 5: Solve for x
    x = 52,512,061.07/8,173.36
  6. Step 6: Final answer
    x = 6,424.78

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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.