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Finding the Fourth Proportional to 10,712.25, 14,789.39 and 6,992.73

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Solution

The fourth proportional to 10,712.25, 14,789.39 and 6,992.73 is: 9,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.25 : 14,789.39 = 6,992.73 : x
  2. Step 2: Convert to fraction form
    10,712.25/14,789.39 = 6,992.73/x
  3. Step 3: Cross multiply
    10,712.25x = 14,789.39 × 6,992.73
  4. Step 4: Simplify right side
    10,712.25x = 103,418,176.17
  5. Step 5: Solve for x
    x = 103,418,176.17/10,712.25
  6. Step 6: Final answer
    x = 9,654.20

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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.