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Finding the Fourth Proportional to 11,640.62, 16,065.18 and 7,166.99

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Solution

The fourth proportional to 11,640.62, 16,065.18 and 7,166.99 is: 9,891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.62 : 16,065.18 = 7,166.99 : x
  2. Step 2: Convert to fraction form
    11,640.62/16,065.18 = 7,166.99/x
  3. Step 3: Cross multiply
    11,640.62x = 16,065.18 × 7,166.99
  4. Step 4: Simplify right side
    11,640.62x = 115,138,959.23
  5. Step 5: Solve for x
    x = 115,138,959.23/11,640.62
  6. Step 6: Final answer
    x = 9,891.14

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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.