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Finding the Fourth Proportional to 8,396.57, 12,580.26 and 5,892.45

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Solution

The fourth proportional to 8,396.57, 12,580.26 and 5,892.45 is: 8,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.57 : 12,580.26 = 5,892.45 : x
  2. Step 2: Convert to fraction form
    8,396.57/12,580.26 = 5,892.45/x
  3. Step 3: Cross multiply
    8,396.57x = 12,580.26 × 5,892.45
  4. Step 4: Simplify right side
    8,396.57x = 74,128,553.04
  5. Step 5: Solve for x
    x = 74,128,553.04/8,396.57
  6. Step 6: Final answer
    x = 8,828.44

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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.