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Finding the Fourth Proportional to 10,474.33, 14,454.18 and 5,694.10

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Solution

The fourth proportional to 10,474.33, 14,454.18 and 5,694.10 is: 7,857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.33 : 14,454.18 = 5,694.10 : x
  2. Step 2: Convert to fraction form
    10,474.33/14,454.18 = 5,694.10/x
  3. Step 3: Cross multiply
    10,474.33x = 14,454.18 × 5,694.10
  4. Step 4: Simplify right side
    10,474.33x = 82,303,546.34
  5. Step 5: Solve for x
    x = 82,303,546.34/10,474.33
  6. Step 6: Final answer
    x = 7,857.64

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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.