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Finding the Fourth Proportional to 6,756.16, 10,136.40 and 3,676

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Solution

The fourth proportional to 6,756.16, 10,136.40 and 3,676 is: 5,515.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.16 : 10,136.40 = 3,676 : x
  2. Step 2: Convert to fraction form
    6,756.16/10,136.40 = 3,676/x
  3. Step 3: Cross multiply
    6,756.16x = 10,136.40 × 3,676
  4. Step 4: Simplify right side
    6,756.16x = 37,261,406.40
  5. Step 5: Solve for x
    x = 37,261,406.40/6,756.16
  6. Step 6: Final answer
    x = 5,515.18

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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.