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Finding the Fourth Proportional to 11,645.52, 17,462.95 and 3,323.50

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Solution

The fourth proportional to 11,645.52, 17,462.95 and 3,323.50 is: 4,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.52 : 17,462.95 = 3,323.50 : x
  2. Step 2: Convert to fraction form
    11,645.52/17,462.95 = 3,323.50/x
  3. Step 3: Cross multiply
    11,645.52x = 17,462.95 × 3,323.50
  4. Step 4: Simplify right side
    11,645.52x = 58,038,114.33
  5. Step 5: Solve for x
    x = 58,038,114.33/11,645.52
  6. Step 6: Final answer
    x = 4,983.73

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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.