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Finding the Fourth Proportional to 8,262, 12,393 and 7,846.74

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Solution

The fourth proportional to 8,262, 12,393 and 7,846.74 is: 11,770.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262 : 12,393 = 7,846.74 : x
  2. Step 2: Convert to fraction form
    8,262/12,393 = 7,846.74/x
  3. Step 3: Cross multiply
    8,262x = 12,393 × 7,846.74
  4. Step 4: Simplify right side
    8,262x = 97,244,648.82
  5. Step 5: Solve for x
    x = 97,244,648.82/8,262
  6. Step 6: Final answer
    x = 11,770.11

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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.