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Finding the Fourth Proportional to 11,643.02, 17,467.28 and 3,323.14

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Solution

The fourth proportional to 11,643.02, 17,467.28 and 3,323.14 is: 4,985.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.02 : 17,467.28 = 3,323.14 : x
  2. Step 2: Convert to fraction form
    11,643.02/17,467.28 = 3,323.14/x
  3. Step 3: Cross multiply
    11,643.02x = 17,467.28 × 3,323.14
  4. Step 4: Simplify right side
    11,643.02x = 58,046,216.86
  5. Step 5: Solve for x
    x = 58,046,216.86/11,643.02
  6. Step 6: Final answer
    x = 4,985.49

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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.