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Finding the Fourth Proportional to 11,885.08, 16,401 and 6,580.12

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Solution

The fourth proportional to 11,885.08, 16,401 and 6,580.12 is: 9,080.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.08 : 16,401 = 6,580.12 : x
  2. Step 2: Convert to fraction form
    11,885.08/16,401 = 6,580.12/x
  3. Step 3: Cross multiply
    11,885.08x = 16,401 × 6,580.12
  4. Step 4: Simplify right side
    11,885.08x = 107,920,548.12
  5. Step 5: Solve for x
    x = 107,920,548.12/11,885.08
  6. Step 6: Final answer
    x = 9,080.34

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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.