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Finding the Fourth Proportional to 7,143.32, 10,713.36 and 1,949.60

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Solution

The fourth proportional to 7,143.32, 10,713.36 and 1,949.60 is: 2,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.32 : 10,713.36 = 1,949.60 : x
  2. Step 2: Convert to fraction form
    7,143.32/10,713.36 = 1,949.60/x
  3. Step 3: Cross multiply
    7,143.32x = 10,713.36 × 1,949.60
  4. Step 4: Simplify right side
    7,143.32x = 20,886,766.66
  5. Step 5: Solve for x
    x = 20,886,766.66/7,143.32
  6. Step 6: Final answer
    x = 2,923.96

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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.