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Finding the Fourth Proportional to 7,146.70, 10,711.77 and 4,227.46

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Solution

The fourth proportional to 7,146.70, 10,711.77 and 4,227.46 is: 6,336.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.70 : 10,711.77 = 4,227.46 : x
  2. Step 2: Convert to fraction form
    7,146.70/10,711.77 = 4,227.46/x
  3. Step 3: Cross multiply
    7,146.70x = 10,711.77 × 4,227.46
  4. Step 4: Simplify right side
    7,146.70x = 45,283,579.20
  5. Step 5: Solve for x
    x = 45,283,579.20/7,146.70
  6. Step 6: Final answer
    x = 6,336.29

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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.