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Finding the Fourth Proportional to 8,241.34, 12,356.52 and 4,282.86

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Solution

The fourth proportional to 8,241.34, 12,356.52 and 4,282.86 is: 6,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.34 : 12,356.52 = 4,282.86 : x
  2. Step 2: Convert to fraction form
    8,241.34/12,356.52 = 4,282.86/x
  3. Step 3: Cross multiply
    8,241.34x = 12,356.52 × 4,282.86
  4. Step 4: Simplify right side
    8,241.34x = 52,921,245.25
  5. Step 5: Solve for x
    x = 52,921,245.25/8,241.34
  6. Step 6: Final answer
    x = 6,421.44

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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.