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Finding the Fourth Proportional to 11,594.75, 17,392.41 and 3,697.14

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Solution

The fourth proportional to 11,594.75, 17,392.41 and 3,697.14 is: 5,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.75 : 17,392.41 = 3,697.14 : x
  2. Step 2: Convert to fraction form
    11,594.75/17,392.41 = 3,697.14/x
  3. Step 3: Cross multiply
    11,594.75x = 17,392.41 × 3,697.14
  4. Step 4: Simplify right side
    11,594.75x = 64,302,174.71
  5. Step 5: Solve for x
    x = 64,302,174.71/11,594.75
  6. Step 6: Final answer
    x = 5,545.80

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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.