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Finding the Fourth Proportional to 8,529.84, 11,757.54 and 5,691.60

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Solution

The fourth proportional to 8,529.84, 11,757.54 and 5,691.60 is: 7,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.84 : 11,757.54 = 5,691.60 : x
  2. Step 2: Convert to fraction form
    8,529.84/11,757.54 = 5,691.60/x
  3. Step 3: Cross multiply
    8,529.84x = 11,757.54 × 5,691.60
  4. Step 4: Simplify right side
    8,529.84x = 66,919,214.66
  5. Step 5: Solve for x
    x = 66,919,214.66/8,529.84
  6. Step 6: Final answer
    x = 7,845.31

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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.