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Finding the Fourth Proportional to 10,142.60, 13,996.83 and 5,666.54

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Solution

The fourth proportional to 10,142.60, 13,996.83 and 5,666.54 is: 7,819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.60 : 13,996.83 = 5,666.54 : x
  2. Step 2: Convert to fraction form
    10,142.60/13,996.83 = 5,666.54/x
  3. Step 3: Cross multiply
    10,142.60x = 13,996.83 × 5,666.54
  4. Step 4: Simplify right side
    10,142.60x = 79,313,527.08
  5. Step 5: Solve for x
    x = 79,313,527.08/10,142.60
  6. Step 6: Final answer
    x = 7,819.85

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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.