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Finding the Fourth Proportional to 11,456.78, 17,187.86 and 3,665.66

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Solution

The fourth proportional to 11,456.78, 17,187.86 and 3,665.66 is: 5,499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.78 : 17,187.86 = 3,665.66 : x
  2. Step 2: Convert to fraction form
    11,456.78/17,187.86 = 3,665.66/x
  3. Step 3: Cross multiply
    11,456.78x = 17,187.86 × 3,665.66
  4. Step 4: Simplify right side
    11,456.78x = 63,004,774.11
  5. Step 5: Solve for x
    x = 63,004,774.11/11,456.78
  6. Step 6: Final answer
    x = 5,499.35

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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.