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Finding the Fourth Proportional to 8,273.10, 12,409.63 and 3,592.50

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Solution

The fourth proportional to 8,273.10, 12,409.63 and 3,592.50 is: 5,388.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.10 : 12,409.63 = 3,592.50 : x
  2. Step 2: Convert to fraction form
    8,273.10/12,409.63 = 3,592.50/x
  3. Step 3: Cross multiply
    8,273.10x = 12,409.63 × 3,592.50
  4. Step 4: Simplify right side
    8,273.10x = 44,581,595.78
  5. Step 5: Solve for x
    x = 44,581,595.78/8,273.10
  6. Step 6: Final answer
    x = 5,388.74

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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.