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Finding the Fourth Proportional to 11,969.72, 17,957.55 and 5,216.45

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Solution

The fourth proportional to 11,969.72, 17,957.55 and 5,216.45 is: 7,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.72 : 17,957.55 = 5,216.45 : x
  2. Step 2: Convert to fraction form
    11,969.72/17,957.55 = 5,216.45/x
  3. Step 3: Cross multiply
    11,969.72x = 17,957.55 × 5,216.45
  4. Step 4: Simplify right side
    11,969.72x = 93,674,663.14
  5. Step 5: Solve for x
    x = 93,674,663.14/11,969.72
  6. Step 6: Final answer
    x = 7,825.97

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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.