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Finding the Fourth Proportional to 11,770.08, 17,661.13 and 7,824.02

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Solution

The fourth proportional to 11,770.08, 17,661.13 and 7,824.02 is: 11,740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.08 : 17,661.13 = 7,824.02 : x
  2. Step 2: Convert to fraction form
    11,770.08/17,661.13 = 7,824.02/x
  3. Step 3: Cross multiply
    11,770.08x = 17,661.13 × 7,824.02
  4. Step 4: Simplify right side
    11,770.08x = 138,181,034.34
  5. Step 5: Solve for x
    x = 138,181,034.34/11,770.08
  6. Step 6: Final answer
    x = 11,740.03

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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.