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Finding the Fourth Proportional to 8,882.64, 13,313.61 and 6,684.30

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Solution

The fourth proportional to 8,882.64, 13,313.61 and 6,684.30 is: 10,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,882.64 : 13,313.61 = 6,684.30 : x
  2. Step 2: Convert to fraction form
    8,882.64/13,313.61 = 6,684.30/x
  3. Step 3: Cross multiply
    8,882.64x = 13,313.61 × 6,684.30
  4. Step 4: Simplify right side
    8,882.64x = 88,992,163.32
  5. Step 5: Solve for x
    x = 88,992,163.32/8,882.64
  6. Step 6: Final answer
    x = 10,018.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.