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Finding the Fourth Proportional to 11,885.88, 16,401.80 and 6,580.38

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Solution

The fourth proportional to 11,885.88, 16,401.80 and 6,580.38 is: 9,080.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.88 : 16,401.80 = 6,580.38 : x
  2. Step 2: Convert to fraction form
    11,885.88/16,401.80 = 6,580.38/x
  3. Step 3: Cross multiply
    11,885.88x = 16,401.80 × 6,580.38
  4. Step 4: Simplify right side
    11,885.88x = 107,930,076.68
  5. Step 5: Solve for x
    x = 107,930,076.68/11,885.88
  6. Step 6: Final answer
    x = 9,080.53

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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.