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Finding the Fourth Proportional to 8,509.50, 12,764.97 and 2,353.50

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Solution

The fourth proportional to 8,509.50, 12,764.97 and 2,353.50 is: 3,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.50 : 12,764.97 = 2,353.50 : x
  2. Step 2: Convert to fraction form
    8,509.50/12,764.97 = 2,353.50/x
  3. Step 3: Cross multiply
    8,509.50x = 12,764.97 × 2,353.50
  4. Step 4: Simplify right side
    8,509.50x = 30,042,356.90
  5. Step 5: Solve for x
    x = 30,042,356.90/8,509.50
  6. Step 6: Final answer
    x = 3,530.45

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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.