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Finding the Fourth Proportional to 8,474.76, 12,712.26 and 2,631

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Solution

The fourth proportional to 8,474.76, 12,712.26 and 2,631 is: 3,946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.76 : 12,712.26 = 2,631 : x
  2. Step 2: Convert to fraction form
    8,474.76/12,712.26 = 2,631/x
  3. Step 3: Cross multiply
    8,474.76x = 12,712.26 × 2,631
  4. Step 4: Simplify right side
    8,474.76x = 33,445,956.06
  5. Step 5: Solve for x
    x = 33,445,956.06/8,474.76
  6. Step 6: Final answer
    x = 3,946.54

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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.