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Finding the Fourth Proportional to 11,973.38, 16,523.29 and 6,938.57

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Solution

The fourth proportional to 11,973.38, 16,523.29 and 6,938.57 is: 9,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.38 : 16,523.29 = 6,938.57 : x
  2. Step 2: Convert to fraction form
    11,973.38/16,523.29 = 6,938.57/x
  3. Step 3: Cross multiply
    11,973.38x = 16,523.29 × 6,938.57
  4. Step 4: Simplify right side
    11,973.38x = 114,648,028.26
  5. Step 5: Solve for x
    x = 114,648,028.26/11,973.38
  6. Step 6: Final answer
    x = 9,575.24

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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.