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Finding the Fourth Proportional to 12,257.54, 16,913.16 and 8,007.47

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Solution

The fourth proportional to 12,257.54, 16,913.16 and 8,007.47 is: 11,048.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.54 : 16,913.16 = 8,007.47 : x
  2. Step 2: Convert to fraction form
    12,257.54/16,913.16 = 8,007.47/x
  3. Step 3: Cross multiply
    12,257.54x = 16,913.16 × 8,007.47
  4. Step 4: Simplify right side
    12,257.54x = 135,431,621.31
  5. Step 5: Solve for x
    x = 135,431,621.31/12,257.54
  6. Step 6: Final answer
    x = 11,048.84

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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.