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Finding the Fourth Proportional to 10,173.94, 14,039.69 and 5,697.56

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Solution

The fourth proportional to 10,173.94, 14,039.69 and 5,697.56 is: 7,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.94 : 14,039.69 = 5,697.56 : x
  2. Step 2: Convert to fraction form
    10,173.94/14,039.69 = 5,697.56/x
  3. Step 3: Cross multiply
    10,173.94x = 14,039.69 × 5,697.56
  4. Step 4: Simplify right side
    10,173.94x = 79,991,982.77
  5. Step 5: Solve for x
    x = 79,991,982.77/10,173.94
  6. Step 6: Final answer
    x = 7,862.44

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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.