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Finding the Fourth Proportional to 12,106.38, 16,707.71 and 7,391.58

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Solution

The fourth proportional to 12,106.38, 16,707.71 and 7,391.58 is: 10,200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.38 : 16,707.71 = 7,391.58 : x
  2. Step 2: Convert to fraction form
    12,106.38/16,707.71 = 7,391.58/x
  3. Step 3: Cross multiply
    12,106.38x = 16,707.71 × 7,391.58
  4. Step 4: Simplify right side
    12,106.38x = 123,496,375.08
  5. Step 5: Solve for x
    x = 123,496,375.08/12,106.38
  6. Step 6: Final answer
    x = 10,200.93

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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.