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Finding the Fourth Proportional to 6,992.13, 10,475.67 and 3,697.86

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Solution

The fourth proportional to 6,992.13, 10,475.67 and 3,697.86 is: 5,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.13 : 10,475.67 = 3,697.86 : x
  2. Step 2: Convert to fraction form
    6,992.13/10,475.67 = 3,697.86/x
  3. Step 3: Cross multiply
    6,992.13x = 10,475.67 × 3,697.86
  4. Step 4: Simplify right side
    6,992.13x = 38,737,561.07
  5. Step 5: Solve for x
    x = 38,737,561.07/6,992.13
  6. Step 6: Final answer
    x = 5,540.17

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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.