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Finding the Fourth Proportional to 8,185.63, 11,296.17 and 4,459.63

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Solution

The fourth proportional to 8,185.63, 11,296.17 and 4,459.63 is: 6,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.63 : 11,296.17 = 4,459.63 : x
  2. Step 2: Convert to fraction form
    8,185.63/11,296.17 = 4,459.63/x
  3. Step 3: Cross multiply
    8,185.63x = 11,296.17 × 4,459.63
  4. Step 4: Simplify right side
    8,185.63x = 50,376,738.62
  5. Step 5: Solve for x
    x = 50,376,738.62/8,185.63
  6. Step 6: Final answer
    x = 6,154.29

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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.