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Finding the Fourth Proportional to 12,371.63, 17,072.91 and 7,338.38

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Solution

The fourth proportional to 12,371.63, 17,072.91 and 7,338.38 is: 10,127.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.63 : 17,072.91 = 7,338.38 : x
  2. Step 2: Convert to fraction form
    12,371.63/17,072.91 = 7,338.38/x
  3. Step 3: Cross multiply
    12,371.63x = 17,072.91 × 7,338.38
  4. Step 4: Simplify right side
    12,371.63x = 125,287,415.92
  5. Step 5: Solve for x
    x = 125,287,415.92/12,371.63
  6. Step 6: Final answer
    x = 10,127.00

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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.