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Finding the Fourth Proportional to 10,249.44, 15,374.52 and 3,324

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Solution

The fourth proportional to 10,249.44, 15,374.52 and 3,324 is: 4,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.44 : 15,374.52 = 3,324 : x
  2. Step 2: Convert to fraction form
    10,249.44/15,374.52 = 3,324/x
  3. Step 3: Cross multiply
    10,249.44x = 15,374.52 × 3,324
  4. Step 4: Simplify right side
    10,249.44x = 51,104,904.48
  5. Step 5: Solve for x
    x = 51,104,904.48/10,249.44
  6. Step 6: Final answer
    x = 4,986.12

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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.