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Finding the Fourth Proportional to 11,404.38, 17,105.46 and 7,730.22

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Solution

The fourth proportional to 11,404.38, 17,105.46 and 7,730.22 is: 11,594.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.38 : 17,105.46 = 7,730.22 : x
  2. Step 2: Convert to fraction form
    11,404.38/17,105.46 = 7,730.22/x
  3. Step 3: Cross multiply
    11,404.38x = 17,105.46 × 7,730.22
  4. Step 4: Simplify right side
    11,404.38x = 132,228,969.00
  5. Step 5: Solve for x
    x = 132,228,969.00/11,404.38
  6. Step 6: Final answer
    x = 11,594.58

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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.