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Finding the Fourth Proportional to 11,776.49, 17,660.16 and 4,379.29

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Solution

The fourth proportional to 11,776.49, 17,660.16 and 4,379.29 is: 6,567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.49 : 17,660.16 = 4,379.29 : x
  2. Step 2: Convert to fraction form
    11,776.49/17,660.16 = 4,379.29/x
  3. Step 3: Cross multiply
    11,776.49x = 17,660.16 × 4,379.29
  4. Step 4: Simplify right side
    11,776.49x = 77,338,962.09
  5. Step 5: Solve for x
    x = 77,338,962.09/11,776.49
  6. Step 6: Final answer
    x = 6,567.23

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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.