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Finding the Fourth Proportional to 12,078.91, 16,668.88 and 6,702.16

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Solution

The fourth proportional to 12,078.91, 16,668.88 and 6,702.16 is: 9,248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.91 : 16,668.88 = 6,702.16 : x
  2. Step 2: Convert to fraction form
    12,078.91/16,668.88 = 6,702.16/x
  3. Step 3: Cross multiply
    12,078.91x = 16,668.88 × 6,702.16
  4. Step 4: Simplify right side
    12,078.91x = 111,717,500.78
  5. Step 5: Solve for x
    x = 111,717,500.78/12,078.91
  6. Step 6: Final answer
    x = 9,248.97

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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.