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Finding the Fourth Proportional to 8,296.63, 12,438.48 and 5,657.60

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Solution

The fourth proportional to 8,296.63, 12,438.48 and 5,657.60 is: 8,481.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.63 : 12,438.48 = 5,657.60 : x
  2. Step 2: Convert to fraction form
    8,296.63/12,438.48 = 5,657.60/x
  3. Step 3: Cross multiply
    8,296.63x = 12,438.48 × 5,657.60
  4. Step 4: Simplify right side
    8,296.63x = 70,371,944.45
  5. Step 5: Solve for x
    x = 70,371,944.45/8,296.63
  6. Step 6: Final answer
    x = 8,481.99

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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.