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Finding the Fourth Proportional to 11,000, 15,180.16 and 6,032

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Solution

The fourth proportional to 11,000, 15,180.16 and 6,032 is: 8,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000 : 15,180.16 = 6,032 : x
  2. Step 2: Convert to fraction form
    11,000/15,180.16 = 6,032/x
  3. Step 3: Cross multiply
    11,000x = 15,180.16 × 6,032
  4. Step 4: Simplify right side
    11,000x = 91,566,725.12
  5. Step 5: Solve for x
    x = 91,566,725.12/11,000
  6. Step 6: Final answer
    x = 8,324.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.