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Finding the Fourth Proportional to 8,505.43, 12,758.77 and 2,265.42

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Solution

The fourth proportional to 8,505.43, 12,758.77 and 2,265.42 is: 3,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.43 : 12,758.77 = 2,265.42 : x
  2. Step 2: Convert to fraction form
    8,505.43/12,758.77 = 2,265.42/x
  3. Step 3: Cross multiply
    8,505.43x = 12,758.77 × 2,265.42
  4. Step 4: Simplify right side
    8,505.43x = 28,903,938.90
  5. Step 5: Solve for x
    x = 28,903,938.90/8,505.43
  6. Step 6: Final answer
    x = 3,398.29

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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.