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Finding the Fourth Proportional to 10,409.85, 14,365.79 and 5,694.23

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Solution

The fourth proportional to 10,409.85, 14,365.79 and 5,694.23 is: 7,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.85 : 14,365.79 = 5,694.23 : x
  2. Step 2: Convert to fraction form
    10,409.85/14,365.79 = 5,694.23/x
  3. Step 3: Cross multiply
    10,409.85x = 14,365.79 × 5,694.23
  4. Step 4: Simplify right side
    10,409.85x = 81,802,012.09
  5. Step 5: Solve for x
    x = 81,802,012.09/10,409.85
  6. Step 6: Final answer
    x = 7,858.14

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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.