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Finding the Fourth Proportional to 11,006, 16,511.16 and 3,610.88

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Solution

The fourth proportional to 11,006, 16,511.16 and 3,610.88 is: 5,417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006 : 16,511.16 = 3,610.88 : x
  2. Step 2: Convert to fraction form
    11,006/16,511.16 = 3,610.88/x
  3. Step 3: Cross multiply
    11,006x = 16,511.16 × 3,610.88
  4. Step 4: Simplify right side
    11,006x = 59,619,817.42
  5. Step 5: Solve for x
    x = 59,619,817.42/11,006
  6. Step 6: Final answer
    x = 5,417.03

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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.