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Finding the Fourth Proportional to 13,084.81, 18,057.27 and 7,116.46

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Solution

The fourth proportional to 13,084.81, 18,057.27 and 7,116.46 is: 9,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.81 : 18,057.27 = 7,116.46 : x
  2. Step 2: Convert to fraction form
    13,084.81/18,057.27 = 7,116.46/x
  3. Step 3: Cross multiply
    13,084.81x = 18,057.27 × 7,116.46
  4. Step 4: Simplify right side
    13,084.81x = 128,503,839.66
  5. Step 5: Solve for x
    x = 128,503,839.66/13,084.81
  6. Step 6: Final answer
    x = 9,820.84

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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.