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Finding the Fourth Proportional to 11,635.56, 16,056.30 and 6,330.30

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Solution

The fourth proportional to 11,635.56, 16,056.30 and 6,330.30 is: 8,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.56 : 16,056.30 = 6,330.30 : x
  2. Step 2: Convert to fraction form
    11,635.56/16,056.30 = 6,330.30/x
  3. Step 3: Cross multiply
    11,635.56x = 16,056.30 × 6,330.30
  4. Step 4: Simplify right side
    11,635.56x = 101,641,195.89
  5. Step 5: Solve for x
    x = 101,641,195.89/11,635.56
  6. Step 6: Final answer
    x = 8,735.39

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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.