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Finding the Fourth Proportional to 11,604.80, 16,014.56 and 6,299.58

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Solution

The fourth proportional to 11,604.80, 16,014.56 and 6,299.58 is: 8,693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.80 : 16,014.56 = 6,299.58 : x
  2. Step 2: Convert to fraction form
    11,604.80/16,014.56 = 6,299.58/x
  3. Step 3: Cross multiply
    11,604.80x = 16,014.56 × 6,299.58
  4. Step 4: Simplify right side
    11,604.80x = 100,885,001.88
  5. Step 5: Solve for x
    x = 100,885,001.88/11,604.80
  6. Step 6: Final answer
    x = 8,693.39

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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.