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Finding the Fourth Proportional to 11,683.50, 16,126.11 and 6,718.38

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Solution

The fourth proportional to 11,683.50, 16,126.11 and 6,718.38 is: 9,273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.50 : 16,126.11 = 6,718.38 : x
  2. Step 2: Convert to fraction form
    11,683.50/16,126.11 = 6,718.38/x
  3. Step 3: Cross multiply
    11,683.50x = 16,126.11 × 6,718.38
  4. Step 4: Simplify right side
    11,683.50x = 108,341,334.90
  5. Step 5: Solve for x
    x = 108,341,334.90/11,683.50
  6. Step 6: Final answer
    x = 9,273.02

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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.