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Finding the Fourth Proportional to 8,253.50, 12,379.23 and 2,409.95

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Solution

The fourth proportional to 8,253.50, 12,379.23 and 2,409.95 is: 3,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.50 : 12,379.23 = 2,409.95 : x
  2. Step 2: Convert to fraction form
    8,253.50/12,379.23 = 2,409.95/x
  3. Step 3: Cross multiply
    8,253.50x = 12,379.23 × 2,409.95
  4. Step 4: Simplify right side
    8,253.50x = 29,833,356.29
  5. Step 5: Solve for x
    x = 29,833,356.29/8,253.50
  6. Step 6: Final answer
    x = 3,614.63

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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.