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Finding the Fourth Proportional to 10,907.87, 16,361.46 and 3,116.68

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Solution

The fourth proportional to 10,907.87, 16,361.46 and 3,116.68 is: 4,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.87 : 16,361.46 = 3,116.68 : x
  2. Step 2: Convert to fraction form
    10,907.87/16,361.46 = 3,116.68/x
  3. Step 3: Cross multiply
    10,907.87x = 16,361.46 × 3,116.68
  4. Step 4: Simplify right side
    10,907.87x = 50,993,419.57
  5. Step 5: Solve for x
    x = 50,993,419.57/10,907.87
  6. Step 6: Final answer
    x = 4,674.92

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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.