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Finding the Fourth Proportional to 11,670.82, 17,513.40 and 6,128.15

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Solution

The fourth proportional to 11,670.82, 17,513.40 and 6,128.15 is: 9,195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.82 : 17,513.40 = 6,128.15 : x
  2. Step 2: Convert to fraction form
    11,670.82/17,513.40 = 6,128.15/x
  3. Step 3: Cross multiply
    11,670.82x = 17,513.40 × 6,128.15
  4. Step 4: Simplify right side
    11,670.82x = 107,324,677.62
  5. Step 5: Solve for x
    x = 107,324,677.62/11,670.82
  6. Step 6: Final answer
    x = 9,195.99

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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.