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Finding the Fourth Proportional to 10,173.49, 14,037.78 and 5,697.43

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Solution

The fourth proportional to 10,173.49, 14,037.78 and 5,697.43 is: 7,861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.49 : 14,037.78 = 5,697.43 : x
  2. Step 2: Convert to fraction form
    10,173.49/14,037.78 = 5,697.43/x
  3. Step 3: Cross multiply
    10,173.49x = 14,037.78 × 5,697.43
  4. Step 4: Simplify right side
    10,173.49x = 79,979,268.91
  5. Step 5: Solve for x
    x = 79,979,268.91/10,173.49
  6. Step 6: Final answer
    x = 7,861.54

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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.