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Finding the Fourth Proportional to 13,540, 18,686.82 and 7,951

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Solution

The fourth proportional to 13,540, 18,686.82 and 7,951 is: 10,973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540 : 18,686.82 = 7,951 : x
  2. Step 2: Convert to fraction form
    13,540/18,686.82 = 7,951/x
  3. Step 3: Cross multiply
    13,540x = 18,686.82 × 7,951
  4. Step 4: Simplify right side
    13,540x = 148,578,905.82
  5. Step 5: Solve for x
    x = 148,578,905.82/13,540
  6. Step 6: Final answer
    x = 10,973.33

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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.