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Finding the Fourth Proportional to 11,973.23, 16,523.09 and 6,669.11

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Solution

The fourth proportional to 11,973.23, 16,523.09 and 6,669.11 is: 9,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.23 : 16,523.09 = 6,669.11 : x
  2. Step 2: Convert to fraction form
    11,973.23/16,523.09 = 6,669.11/x
  3. Step 3: Cross multiply
    11,973.23x = 16,523.09 × 6,669.11
  4. Step 4: Simplify right side
    11,973.23x = 110,194,238.81
  5. Step 5: Solve for x
    x = 110,194,238.81/11,973.23
  6. Step 6: Final answer
    x = 9,203.38

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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.