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Finding the Fourth Proportional to 11,896, 16,417.92 and 6,928

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Solution

The fourth proportional to 11,896, 16,417.92 and 6,928 is: 9,561.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896 : 16,417.92 = 6,928 : x
  2. Step 2: Convert to fraction form
    11,896/16,417.92 = 6,928/x
  3. Step 3: Cross multiply
    11,896x = 16,417.92 × 6,928
  4. Step 4: Simplify right side
    11,896x = 113,743,349.76
  5. Step 5: Solve for x
    x = 113,743,349.76/11,896
  6. Step 6: Final answer
    x = 9,561.48

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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.