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Finding the Fourth Proportional to 8,513.96, 11,751.70 and 5,685.44

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Solution

The fourth proportional to 8,513.96, 11,751.70 and 5,685.44 is: 7,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.96 : 11,751.70 = 5,685.44 : x
  2. Step 2: Convert to fraction form
    8,513.96/11,751.70 = 5,685.44/x
  3. Step 3: Cross multiply
    8,513.96x = 11,751.70 × 5,685.44
  4. Step 4: Simplify right side
    8,513.96x = 66,813,585.25
  5. Step 5: Solve for x
    x = 66,813,585.25/8,513.96
  6. Step 6: Final answer
    x = 7,847.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.