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Finding the Fourth Proportional to 8,245.12, 12,368.24 and 3,314.76

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Solution

The fourth proportional to 8,245.12, 12,368.24 and 3,314.76 is: 4,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.12 : 12,368.24 = 3,314.76 : x
  2. Step 2: Convert to fraction form
    8,245.12/12,368.24 = 3,314.76/x
  3. Step 3: Cross multiply
    8,245.12x = 12,368.24 × 3,314.76
  4. Step 4: Simplify right side
    8,245.12x = 40,997,747.22
  5. Step 5: Solve for x
    x = 40,997,747.22/8,245.12
  6. Step 6: Final answer
    x = 4,972.37

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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.