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Finding the Fourth Proportional to 10,449.19, 15,674.01 and 3,786.28

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Solution

The fourth proportional to 10,449.19, 15,674.01 and 3,786.28 is: 5,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.19 : 15,674.01 = 3,786.28 : x
  2. Step 2: Convert to fraction form
    10,449.19/15,674.01 = 3,786.28/x
  3. Step 3: Cross multiply
    10,449.19x = 15,674.01 × 3,786.28
  4. Step 4: Simplify right side
    10,449.19x = 59,346,190.58
  5. Step 5: Solve for x
    x = 59,346,190.58/10,449.19
  6. Step 6: Final answer
    x = 5,679.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.