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Finding the Fourth Proportional to 11,439.66, 17,161.38 and 3,648

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Solution

The fourth proportional to 11,439.66, 17,161.38 and 3,648 is: 5,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439.66 : 17,161.38 = 3,648 : x
  2. Step 2: Convert to fraction form
    11,439.66/17,161.38 = 3,648/x
  3. Step 3: Cross multiply
    11,439.66x = 17,161.38 × 3,648
  4. Step 4: Simplify right side
    11,439.66x = 62,604,714.24
  5. Step 5: Solve for x
    x = 62,604,714.24/11,439.66
  6. Step 6: Final answer
    x = 5,472.60

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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.