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Finding the Fourth Proportional to 10,606.50, 15,909.75 and 5,989.86

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Solution

The fourth proportional to 10,606.50, 15,909.75 and 5,989.86 is: 8,984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.50 : 15,909.75 = 5,989.86 : x
  2. Step 2: Convert to fraction form
    10,606.50/15,909.75 = 5,989.86/x
  3. Step 3: Cross multiply
    10,606.50x = 15,909.75 × 5,989.86
  4. Step 4: Simplify right side
    10,606.50x = 95,297,175.14
  5. Step 5: Solve for x
    x = 95,297,175.14/10,606.50
  6. Step 6: Final answer
    x = 8,984.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.