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Finding the Fourth Proportional to 10,814.18, 16,218.83 and 4,965.17

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Solution

The fourth proportional to 10,814.18, 16,218.83 and 4,965.17 is: 7,446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.18 : 16,218.83 = 4,965.17 : x
  2. Step 2: Convert to fraction form
    10,814.18/16,218.83 = 4,965.17/x
  3. Step 3: Cross multiply
    10,814.18x = 16,218.83 × 4,965.17
  4. Step 4: Simplify right side
    10,814.18x = 80,529,179.47
  5. Step 5: Solve for x
    x = 80,529,179.47/10,814.18
  6. Step 6: Final answer
    x = 7,446.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.