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Finding the Fourth Proportional to 10,449.43, 15,674.21 and 3,054.71

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Solution

The fourth proportional to 10,449.43, 15,674.21 and 3,054.71 is: 4,582.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.43 : 15,674.21 = 3,054.71 : x
  2. Step 2: Convert to fraction form
    10,449.43/15,674.21 = 3,054.71/x
  3. Step 3: Cross multiply
    10,449.43x = 15,674.21 × 3,054.71
  4. Step 4: Simplify right side
    10,449.43x = 47,880,201.40
  5. Step 5: Solve for x
    x = 47,880,201.40/10,449.43
  6. Step 6: Final answer
    x = 4,582.09

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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.