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Finding the Fourth Proportional to 8,288.96, 12,421.26 and 6,538.16

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Solution

The fourth proportional to 8,288.96, 12,421.26 and 6,538.16 is: 9,797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.96 : 12,421.26 = 6,538.16 : x
  2. Step 2: Convert to fraction form
    8,288.96/12,421.26 = 6,538.16/x
  3. Step 3: Cross multiply
    8,288.96x = 12,421.26 × 6,538.16
  4. Step 4: Simplify right side
    8,288.96x = 81,212,185.28
  5. Step 5: Solve for x
    x = 81,212,185.28/8,288.96
  6. Step 6: Final answer
    x = 9,797.63

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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.