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Finding the Fourth Proportional to 11,794.30, 17,675.32 and 6,521.49

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Solution

The fourth proportional to 11,794.30, 17,675.32 and 6,521.49 is: 9,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.30 : 17,675.32 = 6,521.49 : x
  2. Step 2: Convert to fraction form
    11,794.30/17,675.32 = 6,521.49/x
  3. Step 3: Cross multiply
    11,794.30x = 17,675.32 × 6,521.49
  4. Step 4: Simplify right side
    11,794.30x = 115,269,422.63
  5. Step 5: Solve for x
    x = 115,269,422.63/11,794.30
  6. Step 6: Final answer
    x = 9,773.32

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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.