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Finding the Fourth Proportional to 8,281.50, 11,450.07 and 7,914.30

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Solution

The fourth proportional to 8,281.50, 11,450.07 and 7,914.30 is: 10,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.50 : 11,450.07 = 7,914.30 : x
  2. Step 2: Convert to fraction form
    8,281.50/11,450.07 = 7,914.30/x
  3. Step 3: Cross multiply
    8,281.50x = 11,450.07 × 7,914.30
  4. Step 4: Simplify right side
    8,281.50x = 90,619,289.00
  5. Step 5: Solve for x
    x = 90,619,289.00/8,281.50
  6. Step 6: Final answer
    x = 10,942.38

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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.