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Finding the Fourth Proportional to 12,592.89, 17,375.38 and 7,816.73

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Solution

The fourth proportional to 12,592.89, 17,375.38 and 7,816.73 is: 10,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.89 : 17,375.38 = 7,816.73 : x
  2. Step 2: Convert to fraction form
    12,592.89/17,375.38 = 7,816.73/x
  3. Step 3: Cross multiply
    12,592.89x = 17,375.38 × 7,816.73
  4. Step 4: Simplify right side
    12,592.89x = 135,818,547.69
  5. Step 5: Solve for x
    x = 135,818,547.69/12,592.89
  6. Step 6: Final answer
    x = 10,785.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.