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Finding the Fourth Proportional to 11,801.70, 17,698.47 and 5,232.48

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Solution

The fourth proportional to 11,801.70, 17,698.47 and 5,232.48 is: 7,846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.70 : 17,698.47 = 5,232.48 : x
  2. Step 2: Convert to fraction form
    11,801.70/17,698.47 = 5,232.48/x
  3. Step 3: Cross multiply
    11,801.70x = 17,698.47 × 5,232.48
  4. Step 4: Simplify right side
    11,801.70x = 92,606,890.31
  5. Step 5: Solve for x
    x = 92,606,890.31/11,801.70
  6. Step 6: Final answer
    x = 7,846.91

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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.