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Finding the Fourth Proportional to 10,900.96, 16,351.44 and 3,506.06

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Solution

The fourth proportional to 10,900.96, 16,351.44 and 3,506.06 is: 5,259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.96 : 16,351.44 = 3,506.06 : x
  2. Step 2: Convert to fraction form
    10,900.96/16,351.44 = 3,506.06/x
  3. Step 3: Cross multiply
    10,900.96x = 16,351.44 × 3,506.06
  4. Step 4: Simplify right side
    10,900.96x = 57,329,129.73
  5. Step 5: Solve for x
    x = 57,329,129.73/10,900.96
  6. Step 6: Final answer
    x = 5,259.09

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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.