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Finding the Fourth Proportional to 6,106.68, 8,423.46 and 3,715.56

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Solution

The fourth proportional to 6,106.68, 8,423.46 and 3,715.56 is: 5,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.68 : 8,423.46 = 3,715.56 : x
  2. Step 2: Convert to fraction form
    6,106.68/8,423.46 = 3,715.56/x
  3. Step 3: Cross multiply
    6,106.68x = 8,423.46 × 3,715.56
  4. Step 4: Simplify right side
    6,106.68x = 31,297,871.04
  5. Step 5: Solve for x
    x = 31,297,871.04/6,106.68
  6. Step 6: Final answer
    x = 5,125.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.