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Finding the Fourth Proportional to 6,921.70, 10,366.35 and 5,269.30

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Solution

The fourth proportional to 6,921.70, 10,366.35 and 5,269.30 is: 7,891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.70 : 10,366.35 = 5,269.30 : x
  2. Step 2: Convert to fraction form
    6,921.70/10,366.35 = 5,269.30/x
  3. Step 3: Cross multiply
    6,921.70x = 10,366.35 × 5,269.30
  4. Step 4: Simplify right side
    6,921.70x = 54,623,408.06
  5. Step 5: Solve for x
    x = 54,623,408.06/6,921.70
  6. Step 6: Final answer
    x = 7,891.62

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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.