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Finding the Fourth Proportional to 11,605, 17,384.44 and 5,743.72

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Solution

The fourth proportional to 11,605, 17,384.44 and 5,743.72 is: 8,604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605 : 17,384.44 = 5,743.72 : x
  2. Step 2: Convert to fraction form
    11,605/17,384.44 = 5,743.72/x
  3. Step 3: Cross multiply
    11,605x = 17,384.44 × 5,743.72
  4. Step 4: Simplify right side
    11,605x = 99,851,355.72
  5. Step 5: Solve for x
    x = 99,851,355.72/11,605
  6. Step 6: Final answer
    x = 8,604.17

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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.