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Finding the Fourth Proportional to 7,568.02, 10,453.87 and 6,313.23

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Solution

The fourth proportional to 7,568.02, 10,453.87 and 6,313.23 is: 8,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.02 : 10,453.87 = 6,313.23 : x
  2. Step 2: Convert to fraction form
    7,568.02/10,453.87 = 6,313.23/x
  3. Step 3: Cross multiply
    7,568.02x = 10,453.87 × 6,313.23
  4. Step 4: Simplify right side
    7,568.02x = 65,997,685.70
  5. Step 5: Solve for x
    x = 65,997,685.70/7,568.02
  6. Step 6: Final answer
    x = 8,720.60

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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.