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Finding the Fourth Proportional to 8,522.47, 11,756.49 and 5,865.26

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Solution

The fourth proportional to 8,522.47, 11,756.49 and 5,865.26 is: 8,090.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.47 : 11,756.49 = 5,865.26 : x
  2. Step 2: Convert to fraction form
    8,522.47/11,756.49 = 5,865.26/x
  3. Step 3: Cross multiply
    8,522.47x = 11,756.49 × 5,865.26
  4. Step 4: Simplify right side
    8,522.47x = 68,954,888.88
  5. Step 5: Solve for x
    x = 68,954,888.88/8,522.47
  6. Step 6: Final answer
    x = 8,090.96

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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.