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Finding the Fourth Proportional to 12,377.71, 17,081.08 and 7,072.41

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Solution

The fourth proportional to 12,377.71, 17,081.08 and 7,072.41 is: 9,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.71 : 17,081.08 = 7,072.41 : x
  2. Step 2: Convert to fraction form
    12,377.71/17,081.08 = 7,072.41/x
  3. Step 3: Cross multiply
    12,377.71x = 17,081.08 × 7,072.41
  4. Step 4: Simplify right side
    12,377.71x = 120,804,447.38
  5. Step 5: Solve for x
    x = 120,804,447.38/12,377.71
  6. Step 6: Final answer
    x = 9,759.84

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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.