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Finding the Fourth Proportional to 12,377, 17,080.26 and 6,788.12

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Solution

The fourth proportional to 12,377, 17,080.26 and 6,788.12 is: 9,367.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377 : 17,080.26 = 6,788.12 : x
  2. Step 2: Convert to fraction form
    12,377/17,080.26 = 6,788.12/x
  3. Step 3: Cross multiply
    12,377x = 17,080.26 × 6,788.12
  4. Step 4: Simplify right side
    12,377x = 115,942,854.51
  5. Step 5: Solve for x
    x = 115,942,854.51/12,377
  6. Step 6: Final answer
    x = 9,367.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.