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Finding the Fourth Proportional to 12,106.57, 16,707.08 and 6,801.38

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Solution

The fourth proportional to 12,106.57, 16,707.08 and 6,801.38 is: 9,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.57 : 16,707.08 = 6,801.38 : x
  2. Step 2: Convert to fraction form
    12,106.57/16,707.08 = 6,801.38/x
  3. Step 3: Cross multiply
    12,106.57x = 16,707.08 × 6,801.38
  4. Step 4: Simplify right side
    12,106.57x = 113,631,165.76
  5. Step 5: Solve for x
    x = 113,631,165.76/12,106.57
  6. Step 6: Final answer
    x = 9,385.91

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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.