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Finding the Fourth Proportional to 13,106.09, 18,091.64 and 7,799.88

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Solution

The fourth proportional to 13,106.09, 18,091.64 and 7,799.88 is: 10,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.09 : 18,091.64 = 7,799.88 : x
  2. Step 2: Convert to fraction form
    13,106.09/18,091.64 = 7,799.88/x
  3. Step 3: Cross multiply
    13,106.09x = 18,091.64 × 7,799.88
  4. Step 4: Simplify right side
    13,106.09x = 141,112,582.00
  5. Step 5: Solve for x
    x = 141,112,582.00/13,106.09
  6. Step 6: Final answer
    x = 10,766.95

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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.