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Finding the Fourth Proportional to 12,640.70, 18,964.10 and 4,743.28

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Solution

The fourth proportional to 12,640.70, 18,964.10 and 4,743.28 is: 7,116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.70 : 18,964.10 = 4,743.28 : x
  2. Step 2: Convert to fraction form
    12,640.70/18,964.10 = 4,743.28/x
  3. Step 3: Cross multiply
    12,640.70x = 18,964.10 × 4,743.28
  4. Step 4: Simplify right side
    12,640.70x = 89,952,048.11
  5. Step 5: Solve for x
    x = 89,952,048.11/12,640.70
  6. Step 6: Final answer
    x = 7,116.07

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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.