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Finding the Fourth Proportional to 11,065.34, 15,270.42 and 6,029.84

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Solution

The fourth proportional to 11,065.34, 15,270.42 and 6,029.84 is: 8,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,065.34 : 15,270.42 = 6,029.84 : x
  2. Step 2: Convert to fraction form
    11,065.34/15,270.42 = 6,029.84/x
  3. Step 3: Cross multiply
    11,065.34x = 15,270.42 × 6,029.84
  4. Step 4: Simplify right side
    11,065.34x = 92,078,189.33
  5. Step 5: Solve for x
    x = 92,078,189.33/11,065.34
  6. Step 6: Final answer
    x = 8,321.32

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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.