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Finding the Fourth Proportional to 11,524.04, 17,255.28 and 6,586.88

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Solution

The fourth proportional to 11,524.04, 17,255.28 and 6,586.88 is: 9,862.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.04 : 17,255.28 = 6,586.88 : x
  2. Step 2: Convert to fraction form
    11,524.04/17,255.28 = 6,586.88/x
  3. Step 3: Cross multiply
    11,524.04x = 17,255.28 × 6,586.88
  4. Step 4: Simplify right side
    11,524.04x = 113,658,458.73
  5. Step 5: Solve for x
    x = 113,658,458.73/11,524.04
  6. Step 6: Final answer
    x = 9,862.73

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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.