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Finding the Fourth Proportional to 6,939.86, 10,402.94 and 2,992.02

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Solution

The fourth proportional to 6,939.86, 10,402.94 and 2,992.02 is: 4,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.86 : 10,402.94 = 2,992.02 : x
  2. Step 2: Convert to fraction form
    6,939.86/10,402.94 = 2,992.02/x
  3. Step 3: Cross multiply
    6,939.86x = 10,402.94 × 2,992.02
  4. Step 4: Simplify right side
    6,939.86x = 31,125,789.58
  5. Step 5: Solve for x
    x = 31,125,789.58/6,939.86
  6. Step 6: Final answer
    x = 4,485.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.