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Finding the Fourth Proportional to 11,592, 17,378.22 and 7,883.82

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Solution

The fourth proportional to 11,592, 17,378.22 and 7,883.82 is: 11,819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592 : 17,378.22 = 7,883.82 : x
  2. Step 2: Convert to fraction form
    11,592/17,378.22 = 7,883.82/x
  3. Step 3: Cross multiply
    11,592x = 17,378.22 × 7,883.82
  4. Step 4: Simplify right side
    11,592x = 137,006,758.40
  5. Step 5: Solve for x
    x = 137,006,758.40/11,592
  6. Step 6: Final answer
    x = 11,819.08

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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.