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Finding the Fourth Proportional to 10,254.96, 15,382.26 and 2,859.84

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Solution

The fourth proportional to 10,254.96, 15,382.26 and 2,859.84 is: 4,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.96 : 15,382.26 = 2,859.84 : x
  2. Step 2: Convert to fraction form
    10,254.96/15,382.26 = 2,859.84/x
  3. Step 3: Cross multiply
    10,254.96x = 15,382.26 × 2,859.84
  4. Step 4: Simplify right side
    10,254.96x = 43,990,802.44
  5. Step 5: Solve for x
    x = 43,990,802.44/10,254.96
  6. Step 6: Final answer
    x = 4,289.71

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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.