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Finding the Fourth Proportional to 12,046.96, 18,074.76 and 5,122

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Solution

The fourth proportional to 12,046.96, 18,074.76 and 5,122 is: 7,684.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.96 : 18,074.76 = 5,122 : x
  2. Step 2: Convert to fraction form
    12,046.96/18,074.76 = 5,122/x
  3. Step 3: Cross multiply
    12,046.96x = 18,074.76 × 5,122
  4. Step 4: Simplify right side
    12,046.96x = 92,578,920.72
  5. Step 5: Solve for x
    x = 92,578,920.72/12,046.96
  6. Step 6: Final answer
    x = 7,684.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.