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Finding the Fourth Proportional to 11,683.29, 16,117.62 and 6,965.85

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Solution

The fourth proportional to 11,683.29, 16,117.62 and 6,965.85 is: 9,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.29 : 16,117.62 = 6,965.85 : x
  2. Step 2: Convert to fraction form
    11,683.29/16,117.62 = 6,965.85/x
  3. Step 3: Cross multiply
    11,683.29x = 16,117.62 × 6,965.85
  4. Step 4: Simplify right side
    11,683.29x = 112,272,923.28
  5. Step 5: Solve for x
    x = 112,272,923.28/11,683.29
  6. Step 6: Final answer
    x = 9,609.70

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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.