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Finding the Fourth Proportional to 10,712.50, 14,789.73 and 6,992.98

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Solution

The fourth proportional to 10,712.50, 14,789.73 and 6,992.98 is: 9,654.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.50 : 14,789.73 = 6,992.98 : x
  2. Step 2: Convert to fraction form
    10,712.50/14,789.73 = 6,992.98/x
  3. Step 3: Cross multiply
    10,712.50x = 14,789.73 × 6,992.98
  4. Step 4: Simplify right side
    10,712.50x = 103,424,286.10
  5. Step 5: Solve for x
    x = 103,424,286.10/10,712.50
  6. Step 6: Final answer
    x = 9,654.54

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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.