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Finding the Fourth Proportional to 11,672.64, 17,510.40 and 3,884.16

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Solution

The fourth proportional to 11,672.64, 17,510.40 and 3,884.16 is: 5,826.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.64 : 17,510.40 = 3,884.16 : x
  2. Step 2: Convert to fraction form
    11,672.64/17,510.40 = 3,884.16/x
  3. Step 3: Cross multiply
    11,672.64x = 17,510.40 × 3,884.16
  4. Step 4: Simplify right side
    11,672.64x = 68,013,195.26
  5. Step 5: Solve for x
    x = 68,013,195.26/11,672.64
  6. Step 6: Final answer
    x = 5,826.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.