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Finding the Fourth Proportional to 11,853.33, 17,773.38 and 7,461.38

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Solution

The fourth proportional to 11,853.33, 17,773.38 and 7,461.38 is: 11,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.33 : 17,773.38 = 7,461.38 : x
  2. Step 2: Convert to fraction form
    11,853.33/17,773.38 = 7,461.38/x
  3. Step 3: Cross multiply
    11,853.33x = 17,773.38 × 7,461.38
  4. Step 4: Simplify right side
    11,853.33x = 132,613,853.20
  5. Step 5: Solve for x
    x = 132,613,853.20/11,853.33
  6. Step 6: Final answer
    x = 11,187.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.