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Finding the Fourth Proportional to 8,522.40, 11,758.26 and 5,164.20

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Solution

The fourth proportional to 8,522.40, 11,758.26 and 5,164.20 is: 7,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.40 : 11,758.26 = 5,164.20 : x
  2. Step 2: Convert to fraction form
    8,522.40/11,758.26 = 5,164.20/x
  3. Step 3: Cross multiply
    8,522.40x = 11,758.26 × 5,164.20
  4. Step 4: Simplify right side
    8,522.40x = 60,722,006.29
  5. Step 5: Solve for x
    x = 60,722,006.29/8,522.40
  6. Step 6: Final answer
    x = 7,124.99

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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.