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Finding the Fourth Proportional to 13,084.19, 18,057.92 and 7,781.93

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Solution

The fourth proportional to 13,084.19, 18,057.92 and 7,781.93 is: 10,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.19 : 18,057.92 = 7,781.93 : x
  2. Step 2: Convert to fraction form
    13,084.19/18,057.92 = 7,781.93/x
  3. Step 3: Cross multiply
    13,084.19x = 18,057.92 × 7,781.93
  4. Step 4: Simplify right side
    13,084.19x = 140,525,469.39
  5. Step 5: Solve for x
    x = 140,525,469.39/13,084.19
  6. Step 6: Final answer
    x = 10,740.10

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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.