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Finding the Fourth Proportional to 11,439.66, 17,162.27 and 3,648.47

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Solution

The fourth proportional to 11,439.66, 17,162.27 and 3,648.47 is: 5,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439.66 : 17,162.27 = 3,648.47 : x
  2. Step 2: Convert to fraction form
    11,439.66/17,162.27 = 3,648.47/x
  3. Step 3: Cross multiply
    11,439.66x = 17,162.27 × 3,648.47
  4. Step 4: Simplify right side
    11,439.66x = 62,615,923.17
  5. Step 5: Solve for x
    x = 62,615,923.17/11,439.66
  6. Step 6: Final answer
    x = 5,473.58

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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.