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Finding the Fourth Proportional to 10,014.50, 15,021.75 and 3,440.64

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Solution

The fourth proportional to 10,014.50, 15,021.75 and 3,440.64 is: 5,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.50 : 15,021.75 = 3,440.64 : x
  2. Step 2: Convert to fraction form
    10,014.50/15,021.75 = 3,440.64/x
  3. Step 3: Cross multiply
    10,014.50x = 15,021.75 × 3,440.64
  4. Step 4: Simplify right side
    10,014.50x = 51,684,416.72
  5. Step 5: Solve for x
    x = 51,684,416.72/10,014.50
  6. Step 6: Final answer
    x = 5,160.96

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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.