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Finding the Fourth Proportional to 10,957.56, 15,121.38 and 5,989.56

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Solution

The fourth proportional to 10,957.56, 15,121.38 and 5,989.56 is: 8,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.56 : 15,121.38 = 5,989.56 : x
  2. Step 2: Convert to fraction form
    10,957.56/15,121.38 = 5,989.56/x
  3. Step 3: Cross multiply
    10,957.56x = 15,121.38 × 5,989.56
  4. Step 4: Simplify right side
    10,957.56x = 90,570,412.79
  5. Step 5: Solve for x
    x = 90,570,412.79/10,957.56
  6. Step 6: Final answer
    x = 8,265.56

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Why These Related Problems?

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