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Finding the Fourth Proportional to 7,642, 10,563.61 and 6,375.67

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Solution

The fourth proportional to 7,642, 10,563.61 and 6,375.67 is: 8,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642 : 10,563.61 = 6,375.67 : x
  2. Step 2: Convert to fraction form
    7,642/10,563.61 = 6,375.67/x
  3. Step 3: Cross multiply
    7,642x = 10,563.61 × 6,375.67
  4. Step 4: Simplify right side
    7,642x = 67,350,091.37
  5. Step 5: Solve for x
    x = 67,350,091.37/7,642
  6. Step 6: Final answer
    x = 8,813.15

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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.