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Finding the Fourth Proportional to 8,303.27, 12,467.48 and 7,145.96

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Solution

The fourth proportional to 8,303.27, 12,467.48 and 7,145.96 is: 10,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.27 : 12,467.48 = 7,145.96 : x
  2. Step 2: Convert to fraction form
    8,303.27/12,467.48 = 7,145.96/x
  3. Step 3: Cross multiply
    8,303.27x = 12,467.48 × 7,145.96
  4. Step 4: Simplify right side
    8,303.27x = 89,092,015.31
  5. Step 5: Solve for x
    x = 89,092,015.31/8,303.27
  6. Step 6: Final answer
    x = 10,729.76

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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.