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Finding the Fourth Proportional to 11,776.25, 17,663.07 and 3,456.34

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Solution

The fourth proportional to 11,776.25, 17,663.07 and 3,456.34 is: 5,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.25 : 17,663.07 = 3,456.34 : x
  2. Step 2: Convert to fraction form
    11,776.25/17,663.07 = 3,456.34/x
  3. Step 3: Cross multiply
    11,776.25x = 17,663.07 × 3,456.34
  4. Step 4: Simplify right side
    11,776.25x = 61,049,575.36
  5. Step 5: Solve for x
    x = 61,049,575.36/11,776.25
  6. Step 6: Final answer
    x = 5,184.13

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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.