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Finding the Fourth Proportional to 11,021, 15,209.34 and 6,053

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Solution

The fourth proportional to 11,021, 15,209.34 and 6,053 is: 8,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021 : 15,209.34 = 6,053 : x
  2. Step 2: Convert to fraction form
    11,021/15,209.34 = 6,053/x
  3. Step 3: Cross multiply
    11,021x = 15,209.34 × 6,053
  4. Step 4: Simplify right side
    11,021x = 92,062,135.02
  5. Step 5: Solve for x
    x = 92,062,135.02/11,021
  6. Step 6: Final answer
    x = 8,353.34

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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.