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Finding the Fourth Proportional to 10,028.94, 13,814.26 and 8,433.80

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Solution

The fourth proportional to 10,028.94, 13,814.26 and 8,433.80 is: 11,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.94 : 13,814.26 = 8,433.80 : x
  2. Step 2: Convert to fraction form
    10,028.94/13,814.26 = 8,433.80/x
  3. Step 3: Cross multiply
    10,028.94x = 13,814.26 × 8,433.80
  4. Step 4: Simplify right side
    10,028.94x = 116,506,705.99
  5. Step 5: Solve for x
    x = 116,506,705.99/10,028.94
  6. Step 6: Final answer
    x = 11,617.05

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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.