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Finding the Fourth Proportional to 8,892.24, 13,331.88 and 7,674

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Solution

The fourth proportional to 8,892.24, 13,331.88 and 7,674 is: 11,505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,892.24 : 13,331.88 = 7,674 : x
  2. Step 2: Convert to fraction form
    8,892.24/13,331.88 = 7,674/x
  3. Step 3: Cross multiply
    8,892.24x = 13,331.88 × 7,674
  4. Step 4: Simplify right side
    8,892.24x = 102,308,847.12
  5. Step 5: Solve for x
    x = 102,308,847.12/8,892.24
  6. Step 6: Final answer
    x = 11,505.41

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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.