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Finding the Fourth Proportional to 11,872.81, 17,810.24 and 3,107.72

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Solution

The fourth proportional to 11,872.81, 17,810.24 and 3,107.72 is: 4,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.81 : 17,810.24 = 3,107.72 : x
  2. Step 2: Convert to fraction form
    11,872.81/17,810.24 = 3,107.72/x
  3. Step 3: Cross multiply
    11,872.81x = 17,810.24 × 3,107.72
  4. Step 4: Simplify right side
    11,872.81x = 55,349,268.04
  5. Step 5: Solve for x
    x = 55,349,268.04/11,872.81
  6. Step 6: Final answer
    x = 4,661.85

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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.