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Finding the Fourth Proportional to 11,680.68, 17,489.70 and 7,289.40

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Solution

The fourth proportional to 11,680.68, 17,489.70 and 7,289.40 is: 10,914.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.68 : 17,489.70 = 7,289.40 : x
  2. Step 2: Convert to fraction form
    11,680.68/17,489.70 = 7,289.40/x
  3. Step 3: Cross multiply
    11,680.68x = 17,489.70 × 7,289.40
  4. Step 4: Simplify right side
    11,680.68x = 127,489,419.18
  5. Step 5: Solve for x
    x = 127,489,419.18/11,680.68
  6. Step 6: Final answer
    x = 10,914.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.