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Finding the Fourth Proportional to 12,361, 17,058.54 and 6,772.36

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Solution

The fourth proportional to 12,361, 17,058.54 and 6,772.36 is: 9,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361 : 17,058.54 = 6,772.36 : x
  2. Step 2: Convert to fraction form
    12,361/17,058.54 = 6,772.36/x
  3. Step 3: Cross multiply
    12,361x = 17,058.54 × 6,772.36
  4. Step 4: Simplify right side
    12,361x = 115,526,573.95
  5. Step 5: Solve for x
    x = 115,526,573.95/12,361
  6. Step 6: Final answer
    x = 9,346.05

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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.