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Finding the Fourth Proportional to 11,672.70, 17,510.16 and 4,651.02

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Solution

The fourth proportional to 11,672.70, 17,510.16 and 4,651.02 is: 6,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.70 : 17,510.16 = 4,651.02 : x
  2. Step 2: Convert to fraction form
    11,672.70/17,510.16 = 4,651.02/x
  3. Step 3: Cross multiply
    11,672.70x = 17,510.16 × 4,651.02
  4. Step 4: Simplify right side
    11,672.70x = 81,440,104.36
  5. Step 5: Solve for x
    x = 81,440,104.36/11,672.70
  6. Step 6: Final answer
    x = 6,976.97

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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.