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Finding the Fourth Proportional to 10,173.78, 14,039.01 and 5,696.93

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Solution

The fourth proportional to 10,173.78, 14,039.01 and 5,696.93 is: 7,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.78 : 14,039.01 = 5,696.93 : x
  2. Step 2: Convert to fraction form
    10,173.78/14,039.01 = 5,696.93/x
  3. Step 3: Cross multiply
    10,173.78x = 14,039.01 × 5,696.93
  4. Step 4: Simplify right side
    10,173.78x = 79,979,187.04
  5. Step 5: Solve for x
    x = 79,979,187.04/10,173.78
  6. Step 6: Final answer
    x = 7,861.30

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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.