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Finding the Fourth Proportional to 12,078.14, 16,668.18 and 6,772.85

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Solution

The fourth proportional to 12,078.14, 16,668.18 and 6,772.85 is: 9,346.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.14 : 16,668.18 = 6,772.85 : x
  2. Step 2: Convert to fraction form
    12,078.14/16,668.18 = 6,772.85/x
  3. Step 3: Cross multiply
    12,078.14x = 16,668.18 × 6,772.85
  4. Step 4: Simplify right side
    12,078.14x = 112,890,965.71
  5. Step 5: Solve for x
    x = 112,890,965.71/12,078.14
  6. Step 6: Final answer
    x = 9,346.72

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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.