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Finding the Fourth Proportional to 11,762.00, 16,231.02 and 6,456.90

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Solution

The fourth proportional to 11,762.00, 16,231.02 and 6,456.90 is: 8,910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.00 : 16,231.02 = 6,456.90 : x
  2. Step 2: Convert to fraction form
    11,762.00/16,231.02 = 6,456.90/x
  3. Step 3: Cross multiply
    11,762.00x = 16,231.02 × 6,456.90
  4. Step 4: Simplify right side
    11,762.00x = 104,802,109.69
  5. Step 5: Solve for x
    x = 104,802,109.69/11,762.00
  6. Step 6: Final answer
    x = 8,910.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.