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Finding the Fourth Proportional to 10,922.45, 16,389.14 and 4,361.45

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Solution

The fourth proportional to 10,922.45, 16,389.14 and 4,361.45 is: 6,544.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.45 : 16,389.14 = 4,361.45 : x
  2. Step 2: Convert to fraction form
    10,922.45/16,389.14 = 4,361.45/x
  3. Step 3: Cross multiply
    10,922.45x = 16,389.14 × 4,361.45
  4. Step 4: Simplify right side
    10,922.45x = 71,480,310.90
  5. Step 5: Solve for x
    x = 71,480,310.90/10,922.45
  6. Step 6: Final answer
    x = 6,544.35

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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.