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Finding the Fourth Proportional to 12,107.06, 16,707.65 and 6,801.77

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Solution

The fourth proportional to 12,107.06, 16,707.65 and 6,801.77 is: 9,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.06 : 16,707.65 = 6,801.77 : x
  2. Step 2: Convert to fraction form
    12,107.06/16,707.65 = 6,801.77/x
  3. Step 3: Cross multiply
    12,107.06x = 16,707.65 × 6,801.77
  4. Step 4: Simplify right side
    12,107.06x = 113,641,592.54
  5. Step 5: Solve for x
    x = 113,641,592.54/12,107.06
  6. Step 6: Final answer
    x = 9,386.39

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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.