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Finding the Fourth Proportional to 10,260.96, 15,380.16 and 4,019.81

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Solution

The fourth proportional to 10,260.96, 15,380.16 and 4,019.81 is: 6,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,260.96 : 15,380.16 = 4,019.81 : x
  2. Step 2: Convert to fraction form
    10,260.96/15,380.16 = 4,019.81/x
  3. Step 3: Cross multiply
    10,260.96x = 15,380.16 × 4,019.81
  4. Step 4: Simplify right side
    10,260.96x = 61,825,320.97
  5. Step 5: Solve for x
    x = 61,825,320.97/10,260.96
  6. Step 6: Final answer
    x = 6,025.30

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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.