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Finding the Fourth Proportional to 11,411.81, 17,114.44 and 4,391.36

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Solution

The fourth proportional to 11,411.81, 17,114.44 and 4,391.36 is: 6,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.81 : 17,114.44 = 4,391.36 : x
  2. Step 2: Convert to fraction form
    11,411.81/17,114.44 = 4,391.36/x
  3. Step 3: Cross multiply
    11,411.81x = 17,114.44 × 4,391.36
  4. Step 4: Simplify right side
    11,411.81x = 75,155,667.24
  5. Step 5: Solve for x
    x = 75,155,667.24/11,411.81
  6. Step 6: Final answer
    x = 6,585.78

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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.