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Finding the Fourth Proportional to 11,650.49, 17,462.77 and 6,976.79

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Solution

The fourth proportional to 11,650.49, 17,462.77 and 6,976.79 is: 10,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.49 : 17,462.77 = 6,976.79 : x
  2. Step 2: Convert to fraction form
    11,650.49/17,462.77 = 6,976.79/x
  3. Step 3: Cross multiply
    11,650.49x = 17,462.77 × 6,976.79
  4. Step 4: Simplify right side
    11,650.49x = 121,834,079.11
  5. Step 5: Solve for x
    x = 121,834,079.11/11,650.49
  6. Step 6: Final answer
    x = 10,457.42

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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.