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Finding the Fourth Proportional to 6,928.12, 10,375.98 and 3,457

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Solution

The fourth proportional to 6,928.12, 10,375.98 and 3,457 is: 5,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.12 : 10,375.98 = 3,457 : x
  2. Step 2: Convert to fraction form
    6,928.12/10,375.98 = 3,457/x
  3. Step 3: Cross multiply
    6,928.12x = 10,375.98 × 3,457
  4. Step 4: Simplify right side
    6,928.12x = 35,869,762.86
  5. Step 5: Solve for x
    x = 35,869,762.86/6,928.12
  6. Step 6: Final answer
    x = 5,177.42

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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.