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Finding the Fourth Proportional to 11,013.76, 16,526.52 and 5,170.42

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Solution

The fourth proportional to 11,013.76, 16,526.52 and 5,170.42 is: 7,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.76 : 16,526.52 = 5,170.42 : x
  2. Step 2: Convert to fraction form
    11,013.76/16,526.52 = 5,170.42/x
  3. Step 3: Cross multiply
    11,013.76x = 16,526.52 × 5,170.42
  4. Step 4: Simplify right side
    11,013.76x = 85,449,049.54
  5. Step 5: Solve for x
    x = 85,449,049.54/11,013.76
  6. Step 6: Final answer
    x = 7,758.39

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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.