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Finding the Fourth Proportional to 12,166.71, 16,792.76 and 7,910.39

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Solution

The fourth proportional to 12,166.71, 16,792.76 and 7,910.39 is: 10,918.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.71 : 16,792.76 = 7,910.39 : x
  2. Step 2: Convert to fraction form
    12,166.71/16,792.76 = 7,910.39/x
  3. Step 3: Cross multiply
    12,166.71x = 16,792.76 × 7,910.39
  4. Step 4: Simplify right side
    12,166.71x = 132,837,216.59
  5. Step 5: Solve for x
    x = 132,837,216.59/12,166.71
  6. Step 6: Final answer
    x = 10,918.09

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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.