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Finding the Fourth Proportional to 8,523.44, 12,788.23 and 2,977.60

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Solution

The fourth proportional to 8,523.44, 12,788.23 and 2,977.60 is: 4,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.44 : 12,788.23 = 2,977.60 : x
  2. Step 2: Convert to fraction form
    8,523.44/12,788.23 = 2,977.60/x
  3. Step 3: Cross multiply
    8,523.44x = 12,788.23 × 2,977.60
  4. Step 4: Simplify right side
    8,523.44x = 38,078,233.65
  5. Step 5: Solve for x
    x = 38,078,233.65/8,523.44
  6. Step 6: Final answer
    x = 4,467.47

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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.