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Finding the Fourth Proportional to 10,410.63, 14,366.37 and 5,694.81

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Solution

The fourth proportional to 10,410.63, 14,366.37 and 5,694.81 is: 7,858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.63 : 14,366.37 = 5,694.81 : x
  2. Step 2: Convert to fraction form
    10,410.63/14,366.37 = 5,694.81/x
  3. Step 3: Cross multiply
    10,410.63x = 14,366.37 × 5,694.81
  4. Step 4: Simplify right side
    10,410.63x = 81,813,747.54
  5. Step 5: Solve for x
    x = 81,813,747.54/10,410.63
  6. Step 6: Final answer
    x = 7,858.67

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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.