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Finding the Fourth Proportional to 11,456.72, 17,186.16 and 3,663.68

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Solution

The fourth proportional to 11,456.72, 17,186.16 and 3,663.68 is: 5,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.72 : 17,186.16 = 3,663.68 : x
  2. Step 2: Convert to fraction form
    11,456.72/17,186.16 = 3,663.68/x
  3. Step 3: Cross multiply
    11,456.72x = 17,186.16 × 3,663.68
  4. Step 4: Simplify right side
    11,456.72x = 62,964,590.67
  5. Step 5: Solve for x
    x = 62,964,590.67/11,456.72
  6. Step 6: Final answer
    x = 5,495.87

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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.