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Finding the Fourth Proportional to 8,663.42, 11,957.36 and 5,474.69

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Solution

The fourth proportional to 8,663.42, 11,957.36 and 5,474.69 is: 7,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.42 : 11,957.36 = 5,474.69 : x
  2. Step 2: Convert to fraction form
    8,663.42/11,957.36 = 5,474.69/x
  3. Step 3: Cross multiply
    8,663.42x = 11,957.36 × 5,474.69
  4. Step 4: Simplify right side
    8,663.42x = 65,462,752.06
  5. Step 5: Solve for x
    x = 65,462,752.06/8,663.42
  6. Step 6: Final answer
    x = 7,556.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.