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Finding the Fourth Proportional to 8,523.57, 12,788.43 and 2,977.74

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Solution

The fourth proportional to 8,523.57, 12,788.43 and 2,977.74 is: 4,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.57 : 12,788.43 = 2,977.74 : x
  2. Step 2: Convert to fraction form
    8,523.57/12,788.43 = 2,977.74/x
  3. Step 3: Cross multiply
    8,523.57x = 12,788.43 × 2,977.74
  4. Step 4: Simplify right side
    8,523.57x = 38,080,619.55
  5. Step 5: Solve for x
    x = 38,080,619.55/8,523.57
  6. Step 6: Final answer
    x = 4,467.68

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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.