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Finding the Fourth Proportional to 12,766.88, 17,612.88 and 7,796

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Solution

The fourth proportional to 12,766.88, 17,612.88 and 7,796 is: 10,755.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.88 : 17,612.88 = 7,796 : x
  2. Step 2: Convert to fraction form
    12,766.88/17,612.88 = 7,796/x
  3. Step 3: Cross multiply
    12,766.88x = 17,612.88 × 7,796
  4. Step 4: Simplify right side
    12,766.88x = 137,310,012.48
  5. Step 5: Solve for x
    x = 137,310,012.48/12,766.88
  6. Step 6: Final answer
    x = 10,755.17

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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.