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Finding the Fourth Proportional to 8,327.24, 12,492.87 and 2,780.63

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Solution

The fourth proportional to 8,327.24, 12,492.87 and 2,780.63 is: 4,171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.24 : 12,492.87 = 2,780.63 : x
  2. Step 2: Convert to fraction form
    8,327.24/12,492.87 = 2,780.63/x
  3. Step 3: Cross multiply
    8,327.24x = 12,492.87 × 2,780.63
  4. Step 4: Simplify right side
    8,327.24x = 34,738,023.06
  5. Step 5: Solve for x
    x = 34,738,023.06/8,327.24
  6. Step 6: Final answer
    x = 4,171.61

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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.