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Finding the Fourth Proportional to 6,951.68, 10,426.40 and 2,571.20

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Solution

The fourth proportional to 6,951.68, 10,426.40 and 2,571.20 is: 3,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.68 : 10,426.40 = 2,571.20 : x
  2. Step 2: Convert to fraction form
    6,951.68/10,426.40 = 2,571.20/x
  3. Step 3: Cross multiply
    6,951.68x = 10,426.40 × 2,571.20
  4. Step 4: Simplify right side
    6,951.68x = 26,808,359.68
  5. Step 5: Solve for x
    x = 26,808,359.68/6,951.68
  6. Step 6: Final answer
    x = 3,856.39

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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.