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Finding the Fourth Proportional to 11,651.30, 17,476.85 and 6,972.60

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Solution

The fourth proportional to 11,651.30, 17,476.85 and 6,972.60 is: 10,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.30 : 17,476.85 = 6,972.60 : x
  2. Step 2: Convert to fraction form
    11,651.30/17,476.85 = 6,972.60/x
  3. Step 3: Cross multiply
    11,651.30x = 17,476.85 × 6,972.60
  4. Step 4: Simplify right side
    11,651.30x = 121,859,049.45
  5. Step 5: Solve for x
    x = 121,859,049.45/11,651.30
  6. Step 6: Final answer
    x = 10,458.84

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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.