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Finding the Fourth Proportional to 11,743.62, 17,610.31 and 4,442.50

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Solution

The fourth proportional to 11,743.62, 17,610.31 and 4,442.50 is: 6,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.62 : 17,610.31 = 4,442.50 : x
  2. Step 2: Convert to fraction form
    11,743.62/17,610.31 = 4,442.50/x
  3. Step 3: Cross multiply
    11,743.62x = 17,610.31 × 4,442.50
  4. Step 4: Simplify right side
    11,743.62x = 78,233,802.18
  5. Step 5: Solve for x
    x = 78,233,802.18/11,743.62
  6. Step 6: Final answer
    x = 6,661.81

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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.