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Finding the Fourth Proportional to 13,097.70, 18,080.42 and 7,793.01

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Solution

The fourth proportional to 13,097.70, 18,080.42 and 7,793.01 is: 10,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.70 : 18,080.42 = 7,793.01 : x
  2. Step 2: Convert to fraction form
    13,097.70/18,080.42 = 7,793.01/x
  3. Step 3: Cross multiply
    13,097.70x = 18,080.42 × 7,793.01
  4. Step 4: Simplify right side
    13,097.70x = 140,900,854.90
  5. Step 5: Solve for x
    x = 140,900,854.90/13,097.70
  6. Step 6: Final answer
    x = 10,757.68

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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.