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Finding the Fourth Proportional to 8,121.56, 11,208.72 and 4,765.64

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Solution

The fourth proportional to 8,121.56, 11,208.72 and 4,765.64 is: 6,577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.56 : 11,208.72 = 4,765.64 : x
  2. Step 2: Convert to fraction form
    8,121.56/11,208.72 = 4,765.64/x
  3. Step 3: Cross multiply
    8,121.56x = 11,208.72 × 4,765.64
  4. Step 4: Simplify right side
    8,121.56x = 53,416,724.38
  5. Step 5: Solve for x
    x = 53,416,724.38/8,121.56
  6. Step 6: Final answer
    x = 6,577.15

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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.