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Finding the Fourth Proportional to 10,249.67, 15,376.67 and 3,323.63

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Solution

The fourth proportional to 10,249.67, 15,376.67 and 3,323.63 is: 4,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.67 : 15,376.67 = 3,323.63 : x
  2. Step 2: Convert to fraction form
    10,249.67/15,376.67 = 3,323.63/x
  3. Step 3: Cross multiply
    10,249.67x = 15,376.67 × 3,323.63
  4. Step 4: Simplify right side
    10,249.67x = 51,106,268.21
  5. Step 5: Solve for x
    x = 51,106,268.21/10,249.67
  6. Step 6: Final answer
    x = 4,986.14

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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.