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Finding the Fourth Proportional to 8,370, 12,556.80 and 2,823.48

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Solution

The fourth proportional to 8,370, 12,556.80 and 2,823.48 is: 4,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370 : 12,556.80 = 2,823.48 : x
  2. Step 2: Convert to fraction form
    8,370/12,556.80 = 2,823.48/x
  3. Step 3: Cross multiply
    8,370x = 12,556.80 × 2,823.48
  4. Step 4: Simplify right side
    8,370x = 35,453,873.66
  5. Step 5: Solve for x
    x = 35,453,873.66/8,370
  6. Step 6: Final answer
    x = 4,235.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.