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Finding the Fourth Proportional to 11,041, 16,564.14 and 3,249.72

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Solution

The fourth proportional to 11,041, 16,564.14 and 3,249.72 is: 4,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,041 : 16,564.14 = 3,249.72 : x
  2. Step 2: Convert to fraction form
    11,041/16,564.14 = 3,249.72/x
  3. Step 3: Cross multiply
    11,041x = 16,564.14 × 3,249.72
  4. Step 4: Simplify right side
    11,041x = 53,828,817.04
  5. Step 5: Solve for x
    x = 53,828,817.04/11,041
  6. Step 6: Final answer
    x = 4,875.36

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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.