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Finding the Fourth Proportional to 6,954.30, 10,432.13 and 2,023.83

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Solution

The fourth proportional to 6,954.30, 10,432.13 and 2,023.83 is: 3,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.30 : 10,432.13 = 2,023.83 : x
  2. Step 2: Convert to fraction form
    6,954.30/10,432.13 = 2,023.83/x
  3. Step 3: Cross multiply
    6,954.30x = 10,432.13 × 2,023.83
  4. Step 4: Simplify right side
    6,954.30x = 21,112,847.54
  5. Step 5: Solve for x
    x = 21,112,847.54/6,954.30
  6. Step 6: Final answer
    x = 3,035.94

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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.