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Finding the Fourth Proportional to 6,049.75, 8,329.56 and 5,496.10

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Solution

The fourth proportional to 6,049.75, 8,329.56 and 5,496.10 is: 7,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.75 : 8,329.56 = 5,496.10 : x
  2. Step 2: Convert to fraction form
    6,049.75/8,329.56 = 5,496.10/x
  3. Step 3: Cross multiply
    6,049.75x = 8,329.56 × 5,496.10
  4. Step 4: Simplify right side
    6,049.75x = 45,780,094.72
  5. Step 5: Solve for x
    x = 45,780,094.72/6,049.75
  6. Step 6: Final answer
    x = 7,567.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.