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Finding the Fourth Proportional to 12,106.48, 16,706.19 and 6,728.59

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Solution

The fourth proportional to 12,106.48, 16,706.19 and 6,728.59 is: 9,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.48 : 16,706.19 = 6,728.59 : x
  2. Step 2: Convert to fraction form
    12,106.48/16,706.19 = 6,728.59/x
  3. Step 3: Cross multiply
    12,106.48x = 16,706.19 × 6,728.59
  4. Step 4: Simplify right side
    12,106.48x = 112,409,102.97
  5. Step 5: Solve for x
    x = 112,409,102.97/12,106.48
  6. Step 6: Final answer
    x = 9,285.04

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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.