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Finding the Fourth Proportional to 8,435.25, 12,653.48 and 3,241.13

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Solution

The fourth proportional to 8,435.25, 12,653.48 and 3,241.13 is: 4,861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.25 : 12,653.48 = 3,241.13 : x
  2. Step 2: Convert to fraction form
    8,435.25/12,653.48 = 3,241.13/x
  3. Step 3: Cross multiply
    8,435.25x = 12,653.48 × 3,241.13
  4. Step 4: Simplify right side
    8,435.25x = 41,011,518.47
  5. Step 5: Solve for x
    x = 41,011,518.47/8,435.25
  6. Step 6: Final answer
    x = 4,861.92

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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.