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Finding the Fourth Proportional to 6,994.69, 10,493.56 and 3,486.61

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Solution

The fourth proportional to 6,994.69, 10,493.56 and 3,486.61 is: 5,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.69 : 10,493.56 = 3,486.61 : x
  2. Step 2: Convert to fraction form
    6,994.69/10,493.56 = 3,486.61/x
  3. Step 3: Cross multiply
    6,994.69x = 10,493.56 × 3,486.61
  4. Step 4: Simplify right side
    6,994.69x = 36,586,951.23
  5. Step 5: Solve for x
    x = 36,586,951.23/6,994.69
  6. Step 6: Final answer
    x = 5,230.68

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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.