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Finding the Fourth Proportional to 8,522.72, 11,771.20 and 5,685.17

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Solution

The fourth proportional to 8,522.72, 11,771.20 and 5,685.17 is: 7,852.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.72 : 11,771.20 = 5,685.17 : x
  2. Step 2: Convert to fraction form
    8,522.72/11,771.20 = 5,685.17/x
  3. Step 3: Cross multiply
    8,522.72x = 11,771.20 × 5,685.17
  4. Step 4: Simplify right side
    8,522.72x = 66,921,273.10
  5. Step 5: Solve for x
    x = 66,921,273.10/8,522.72
  6. Step 6: Final answer
    x = 7,852.10

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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.