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Finding the Fourth Proportional to 8,192, 12,265.60 and 5,729.28

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Solution

The fourth proportional to 8,192, 12,265.60 and 5,729.28 is: 8,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192 : 12,265.60 = 5,729.28 : x
  2. Step 2: Convert to fraction form
    8,192/12,265.60 = 5,729.28/x
  3. Step 3: Cross multiply
    8,192x = 12,265.60 × 5,729.28
  4. Step 4: Simplify right side
    8,192x = 70,273,056.77
  5. Step 5: Solve for x
    x = 70,273,056.77/8,192
  6. Step 6: Final answer
    x = 8,578.25

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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.