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Finding the Fourth Proportional to 12,467.92, 17,213.70 and 7,758.58

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Solution

The fourth proportional to 12,467.92, 17,213.70 and 7,758.58 is: 10,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.92 : 17,213.70 = 7,758.58 : x
  2. Step 2: Convert to fraction form
    12,467.92/17,213.70 = 7,758.58/x
  3. Step 3: Cross multiply
    12,467.92x = 17,213.70 × 7,758.58
  4. Step 4: Simplify right side
    12,467.92x = 133,553,868.55
  5. Step 5: Solve for x
    x = 133,553,868.55/12,467.92
  6. Step 6: Final answer
    x = 10,711.80

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