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Finding the Fourth Proportional to 12,071.72, 16,658.96 and 6,766.54

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Solution

The fourth proportional to 12,071.72, 16,658.96 and 6,766.54 is: 9,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.72 : 16,658.96 = 6,766.54 : x
  2. Step 2: Convert to fraction form
    12,071.72/16,658.96 = 6,766.54/x
  3. Step 3: Cross multiply
    12,071.72x = 16,658.96 × 6,766.54
  4. Step 4: Simplify right side
    12,071.72x = 112,723,443.72
  5. Step 5: Solve for x
    x = 112,723,443.72/12,071.72
  6. Step 6: Final answer
    x = 9,337.81

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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.