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Finding the Fourth Proportional to 12,286.34, 16,961.38 and 7,252.10

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Solution

The fourth proportional to 12,286.34, 16,961.38 and 7,252.10 is: 10,011.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.34 : 16,961.38 = 7,252.10 : x
  2. Step 2: Convert to fraction form
    12,286.34/16,961.38 = 7,252.10/x
  3. Step 3: Cross multiply
    12,286.34x = 16,961.38 × 7,252.10
  4. Step 4: Simplify right side
    12,286.34x = 123,005,623.90
  5. Step 5: Solve for x
    x = 123,005,623.90/12,286.34
  6. Step 6: Final answer
    x = 10,011.58

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Why These Related Problems?

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