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Finding the Fourth Proportional to 12,120.46, 16,725.92 and 6,815.28

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Solution

The fourth proportional to 12,120.46, 16,725.92 and 6,815.28 is: 9,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,120.46 : 16,725.92 = 6,815.28 : x
  2. Step 2: Convert to fraction form
    12,120.46/16,725.92 = 6,815.28/x
  3. Step 3: Cross multiply
    12,120.46x = 16,725.92 × 6,815.28
  4. Step 4: Simplify right side
    12,120.46x = 113,991,828.06
  5. Step 5: Solve for x
    x = 113,991,828.06/12,120.46
  6. Step 6: Final answer
    x = 9,404.91

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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.