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Finding the Fourth Proportional to 11,509.64, 17,268.11 and 4,113.94

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Solution

The fourth proportional to 11,509.64, 17,268.11 and 4,113.94 is: 6,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.64 : 17,268.11 = 4,113.94 : x
  2. Step 2: Convert to fraction form
    11,509.64/17,268.11 = 4,113.94/x
  3. Step 3: Cross multiply
    11,509.64x = 17,268.11 × 4,113.94
  4. Step 4: Simplify right side
    11,509.64x = 71,039,935.57
  5. Step 5: Solve for x
    x = 71,039,935.57/11,509.64
  6. Step 6: Final answer
    x = 6,172.21

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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.