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Finding the Fourth Proportional to 8,245.56, 11,378.30 and 4,888.20

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Solution

The fourth proportional to 8,245.56, 11,378.30 and 4,888.20 is: 6,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.56 : 11,378.30 = 4,888.20 : x
  2. Step 2: Convert to fraction form
    8,245.56/11,378.30 = 4,888.20/x
  3. Step 3: Cross multiply
    8,245.56x = 11,378.30 × 4,888.20
  4. Step 4: Simplify right side
    8,245.56x = 55,619,406.06
  5. Step 5: Solve for x
    x = 55,619,406.06/8,245.56
  6. Step 6: Final answer
    x = 6,745.38

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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.