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Finding the Fourth Proportional to 8,663.57, 11,957.59 and 5,474.84

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Solution

The fourth proportional to 8,663.57, 11,957.59 and 5,474.84 is: 7,556.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.57 : 11,957.59 = 5,474.84 : x
  2. Step 2: Convert to fraction form
    8,663.57/11,957.59 = 5,474.84/x
  3. Step 3: Cross multiply
    8,663.57x = 11,957.59 × 5,474.84
  4. Step 4: Simplify right side
    8,663.57x = 65,465,875.56
  5. Step 5: Solve for x
    x = 65,465,875.56/8,663.57
  6. Step 6: Final answer
    x = 7,556.45

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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.