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Finding the Fourth Proportional to 11,684.71, 16,116.42 and 7,206.82

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Solution

The fourth proportional to 11,684.71, 16,116.42 and 7,206.82 is: 9,940.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.71 : 16,116.42 = 7,206.82 : x
  2. Step 2: Convert to fraction form
    11,684.71/16,116.42 = 7,206.82/x
  3. Step 3: Cross multiply
    11,684.71x = 16,116.42 × 7,206.82
  4. Step 4: Simplify right side
    11,684.71x = 116,148,137.98
  5. Step 5: Solve for x
    x = 116,148,137.98/11,684.71
  6. Step 6: Final answer
    x = 9,940.18

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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.