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Finding the Fourth Proportional to 11,965.16, 16,511.66 and 6,929.60

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Solution

The fourth proportional to 11,965.16, 16,511.66 and 6,929.60 is: 9,562.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.16 : 16,511.66 = 6,929.60 : x
  2. Step 2: Convert to fraction form
    11,965.16/16,511.66 = 6,929.60/x
  3. Step 3: Cross multiply
    11,965.16x = 16,511.66 × 6,929.60
  4. Step 4: Simplify right side
    11,965.16x = 114,419,081.93
  5. Step 5: Solve for x
    x = 114,419,081.93/11,965.16
  6. Step 6: Final answer
    x = 9,562.69

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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.