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Finding the Fourth Proportional to 12,171.46, 16,796.58 and 6,582.46

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Solution

The fourth proportional to 12,171.46, 16,796.58 and 6,582.46 is: 9,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.46 : 16,796.58 = 6,582.46 : x
  2. Step 2: Convert to fraction form
    12,171.46/16,796.58 = 6,582.46/x
  3. Step 3: Cross multiply
    12,171.46x = 16,796.58 × 6,582.46
  4. Step 4: Simplify right side
    12,171.46x = 110,562,815.99
  5. Step 5: Solve for x
    x = 110,562,815.99/12,171.46
  6. Step 6: Final answer
    x = 9,083.78

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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.