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Finding the Fourth Proportional to 10,418.85, 15,662.14 and 8,361.40

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Solution

The fourth proportional to 10,418.85, 15,662.14 and 8,361.40 is: 12,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.85 : 15,662.14 = 8,361.40 : x
  2. Step 2: Convert to fraction form
    10,418.85/15,662.14 = 8,361.40/x
  3. Step 3: Cross multiply
    10,418.85x = 15,662.14 × 8,361.40
  4. Step 4: Simplify right side
    10,418.85x = 130,957,388.69
  5. Step 5: Solve for x
    x = 130,957,388.69/10,418.85
  6. Step 6: Final answer
    x = 12,569.27

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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.