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Finding the Fourth Proportional to 11,606.20, 17,411.93 and 3,815.08

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Solution

The fourth proportional to 11,606.20, 17,411.93 and 3,815.08 is: 5,723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.20 : 17,411.93 = 3,815.08 : x
  2. Step 2: Convert to fraction form
    11,606.20/17,411.93 = 3,815.08/x
  3. Step 3: Cross multiply
    11,606.20x = 17,411.93 × 3,815.08
  4. Step 4: Simplify right side
    11,606.20x = 66,427,905.90
  5. Step 5: Solve for x
    x = 66,427,905.90/11,606.20
  6. Step 6: Final answer
    x = 5,723.48

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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.