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Finding the Fourth Proportional to 11,028.80, 16,535.64 and 5,186

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Solution

The fourth proportional to 11,028.80, 16,535.64 and 5,186 is: 7,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,028.80 : 16,535.64 = 5,186 : x
  2. Step 2: Convert to fraction form
    11,028.80/16,535.64 = 5,186/x
  3. Step 3: Cross multiply
    11,028.80x = 16,535.64 × 5,186
  4. Step 4: Simplify right side
    11,028.80x = 85,753,829.04
  5. Step 5: Solve for x
    x = 85,753,829.04/11,028.80
  6. Step 6: Final answer
    x = 7,775.45

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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.