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Finding the Fourth Proportional to 11,745.13, 17,613.62 and 4,723.06

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Solution

The fourth proportional to 11,745.13, 17,613.62 and 4,723.06 is: 7,082.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.13 : 17,613.62 = 4,723.06 : x
  2. Step 2: Convert to fraction form
    11,745.13/17,613.62 = 4,723.06/x
  3. Step 3: Cross multiply
    11,745.13x = 17,613.62 × 4,723.06
  4. Step 4: Simplify right side
    11,745.13x = 83,190,072.39
  5. Step 5: Solve for x
    x = 83,190,072.39/11,745.13
  6. Step 6: Final answer
    x = 7,082.94

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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.