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Finding the Fourth Proportional to 11,683.80, 16,125.72 and 6,968.38

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Solution

The fourth proportional to 11,683.80, 16,125.72 and 6,968.38 is: 9,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.80 : 16,125.72 = 6,968.38 : x
  2. Step 2: Convert to fraction form
    11,683.80/16,125.72 = 6,968.38/x
  3. Step 3: Cross multiply
    11,683.80x = 16,125.72 × 6,968.38
  4. Step 4: Simplify right side
    11,683.80x = 112,370,144.73
  5. Step 5: Solve for x
    x = 112,370,144.73/11,683.80
  6. Step 6: Final answer
    x = 9,617.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.