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Finding the Fourth Proportional to 8,243.50, 12,366.80 and 3,313.53

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Solution

The fourth proportional to 8,243.50, 12,366.80 and 3,313.53 is: 4,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.50 : 12,366.80 = 3,313.53 : x
  2. Step 2: Convert to fraction form
    8,243.50/12,366.80 = 3,313.53/x
  3. Step 3: Cross multiply
    8,243.50x = 12,366.80 × 3,313.53
  4. Step 4: Simplify right side
    8,243.50x = 40,977,762.80
  5. Step 5: Solve for x
    x = 40,977,762.80/8,243.50
  6. Step 6: Final answer
    x = 4,970.92

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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.