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Finding the Fourth Proportional to 12,463, 18,694.52 and 5,071.48

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Solution

The fourth proportional to 12,463, 18,694.52 and 5,071.48 is: 7,607.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463 : 18,694.52 = 5,071.48 : x
  2. Step 2: Convert to fraction form
    12,463/18,694.52 = 5,071.48/x
  3. Step 3: Cross multiply
    12,463x = 18,694.52 × 5,071.48
  4. Step 4: Simplify right side
    12,463x = 94,808,884.29
  5. Step 5: Solve for x
    x = 94,808,884.29/12,463
  6. Step 6: Final answer
    x = 7,607.23

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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.