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Finding the Fourth Proportional to 10,183.84, 14,043.04 and 7,536.80

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Solution

The fourth proportional to 10,183.84, 14,043.04 and 7,536.80 is: 10,392.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,183.84 : 14,043.04 = 7,536.80 : x
  2. Step 2: Convert to fraction form
    10,183.84/14,043.04 = 7,536.80/x
  3. Step 3: Cross multiply
    10,183.84x = 14,043.04 × 7,536.80
  4. Step 4: Simplify right side
    10,183.84x = 105,839,583.87
  5. Step 5: Solve for x
    x = 105,839,583.87/10,183.84
  6. Step 6: Final answer
    x = 10,392.90

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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.