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Finding the Fourth Proportional to 12,107.79, 16,707.38 and 6,801.48

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Solution

The fourth proportional to 12,107.79, 16,707.38 and 6,801.48 is: 9,385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.79 : 16,707.38 = 6,801.48 : x
  2. Step 2: Convert to fraction form
    12,107.79/16,707.38 = 6,801.48/x
  3. Step 3: Cross multiply
    12,107.79x = 16,707.38 × 6,801.48
  4. Step 4: Simplify right side
    12,107.79x = 113,634,876.92
  5. Step 5: Solve for x
    x = 113,634,876.92/12,107.79
  6. Step 6: Final answer
    x = 9,385.27

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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.