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Finding the Fourth Proportional to 11,407.67, 17,100.54 and 8,065.49

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Solution

The fourth proportional to 11,407.67, 17,100.54 and 8,065.49 is: 12,090.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.67 : 17,100.54 = 8,065.49 : x
  2. Step 2: Convert to fraction form
    11,407.67/17,100.54 = 8,065.49/x
  3. Step 3: Cross multiply
    11,407.67x = 17,100.54 × 8,065.49
  4. Step 4: Simplify right side
    11,407.67x = 137,924,234.36
  5. Step 5: Solve for x
    x = 137,924,234.36/11,407.67
  6. Step 6: Final answer
    x = 12,090.48

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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.