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Finding the Fourth Proportional to 8,728.54, 13,092.95 and 8,285.47

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Solution

The fourth proportional to 8,728.54, 13,092.95 and 8,285.47 is: 12,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,728.54 : 13,092.95 = 8,285.47 : x
  2. Step 2: Convert to fraction form
    8,728.54/13,092.95 = 8,285.47/x
  3. Step 3: Cross multiply
    8,728.54x = 13,092.95 × 8,285.47
  4. Step 4: Simplify right side
    8,728.54x = 108,481,244.44
  5. Step 5: Solve for x
    x = 108,481,244.44/8,728.54
  6. Step 6: Final answer
    x = 12,428.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.