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Finding the Fourth Proportional to 11,709.70, 17,574.42 and 4,694.62

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Solution

The fourth proportional to 11,709.70, 17,574.42 and 4,694.62 is: 7,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.70 : 17,574.42 = 4,694.62 : x
  2. Step 2: Convert to fraction form
    11,709.70/17,574.42 = 4,694.62/x
  3. Step 3: Cross multiply
    11,709.70x = 17,574.42 × 4,694.62
  4. Step 4: Simplify right side
    11,709.70x = 82,505,223.62
  5. Step 5: Solve for x
    x = 82,505,223.62/11,709.70
  6. Step 6: Final answer
    x = 7,045.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.