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Finding the Fourth Proportional to 8,313.28, 11,468.16 and 5,662.24

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Solution

The fourth proportional to 8,313.28, 11,468.16 and 5,662.24 is: 7,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.28 : 11,468.16 = 5,662.24 : x
  2. Step 2: Convert to fraction form
    8,313.28/11,468.16 = 5,662.24/x
  3. Step 3: Cross multiply
    8,313.28x = 11,468.16 × 5,662.24
  4. Step 4: Simplify right side
    8,313.28x = 64,935,474.28
  5. Step 5: Solve for x
    x = 64,935,474.28/8,313.28
  6. Step 6: Final answer
    x = 7,811.05

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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.