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Finding the Fourth Proportional to 12,876.22, 17,770.94 and 7,772.00

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Solution

The fourth proportional to 12,876.22, 17,770.94 and 7,772.00 is: 10,726.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.22 : 17,770.94 = 7,772.00 : x
  2. Step 2: Convert to fraction form
    12,876.22/17,770.94 = 7,772.00/x
  3. Step 3: Cross multiply
    12,876.22x = 17,770.94 × 7,772.00
  4. Step 4: Simplify right side
    12,876.22x = 138,115,656.83
  5. Step 5: Solve for x
    x = 138,115,656.83/12,876.22
  6. Step 6: Final answer
    x = 10,726.42

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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.