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Finding the Fourth Proportional to 8,296.48, 12,435 and 3,912.76

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Solution

The fourth proportional to 8,296.48, 12,435 and 3,912.76 is: 5,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.48 : 12,435 = 3,912.76 : x
  2. Step 2: Convert to fraction form
    8,296.48/12,435 = 3,912.76/x
  3. Step 3: Cross multiply
    8,296.48x = 12,435 × 3,912.76
  4. Step 4: Simplify right side
    8,296.48x = 48,655,170.60
  5. Step 5: Solve for x
    x = 48,655,170.60/8,296.48
  6. Step 6: Final answer
    x = 5,864.56

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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.