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Finding the Fourth Proportional to 12,071.42, 16,658.64 and 6,766.46

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Solution

The fourth proportional to 12,071.42, 16,658.64 and 6,766.46 is: 9,337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.42 : 16,658.64 = 6,766.46 : x
  2. Step 2: Convert to fraction form
    12,071.42/16,658.64 = 6,766.46/x
  3. Step 3: Cross multiply
    12,071.42x = 16,658.64 × 6,766.46
  4. Step 4: Simplify right side
    12,071.42x = 112,720,021.21
  5. Step 5: Solve for x
    x = 112,720,021.21/12,071.42
  6. Step 6: Final answer
    x = 9,337.76

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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.