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Finding the Fourth Proportional to 11,465.92, 17,202.12 and 3,675.28

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Solution

The fourth proportional to 11,465.92, 17,202.12 and 3,675.28 is: 5,513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.92 : 17,202.12 = 3,675.28 : x
  2. Step 2: Convert to fraction form
    11,465.92/17,202.12 = 3,675.28/x
  3. Step 3: Cross multiply
    11,465.92x = 17,202.12 × 3,675.28
  4. Step 4: Simplify right side
    11,465.92x = 63,222,607.59
  5. Step 5: Solve for x
    x = 63,222,607.59/11,465.92
  6. Step 6: Final answer
    x = 5,513.96

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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.