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Finding the Fourth Proportional to 11,883.30, 16,397.73 and 6,846.53

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Solution

The fourth proportional to 11,883.30, 16,397.73 and 6,846.53 is: 9,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.30 : 16,397.73 = 6,846.53 : x
  2. Step 2: Convert to fraction form
    11,883.30/16,397.73 = 6,846.53/x
  3. Step 3: Cross multiply
    11,883.30x = 16,397.73 × 6,846.53
  4. Step 4: Simplify right side
    11,883.30x = 112,267,550.38
  5. Step 5: Solve for x
    x = 112,267,550.38/11,883.30
  6. Step 6: Final answer
    x = 9,447.51

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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.