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Finding the Fourth Proportional to 10,450.19, 15,674.99 and 3,054.83

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Solution

The fourth proportional to 10,450.19, 15,674.99 and 3,054.83 is: 4,582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.19 : 15,674.99 = 3,054.83 : x
  2. Step 2: Convert to fraction form
    10,450.19/15,674.99 = 3,054.83/x
  3. Step 3: Cross multiply
    10,450.19x = 15,674.99 × 3,054.83
  4. Step 4: Simplify right side
    10,450.19x = 47,884,336.05
  5. Step 5: Solve for x
    x = 47,884,336.05/10,450.19
  6. Step 6: Final answer
    x = 4,582.15

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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.