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Finding the Fourth Proportional to 11,046.96, 16,574.76 and 4,122

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Solution

The fourth proportional to 11,046.96, 16,574.76 and 4,122 is: 6,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046.96 : 16,574.76 = 4,122 : x
  2. Step 2: Convert to fraction form
    11,046.96/16,574.76 = 4,122/x
  3. Step 3: Cross multiply
    11,046.96x = 16,574.76 × 4,122
  4. Step 4: Simplify right side
    11,046.96x = 68,321,160.72
  5. Step 5: Solve for x
    x = 68,321,160.72/11,046.96
  6. Step 6: Final answer
    x = 6,184.61

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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.