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Finding the Fourth Proportional to 8,293.76, 12,441.20 and 3,099.52

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Solution

The fourth proportional to 8,293.76, 12,441.20 and 3,099.52 is: 4,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.76 : 12,441.20 = 3,099.52 : x
  2. Step 2: Convert to fraction form
    8,293.76/12,441.20 = 3,099.52/x
  3. Step 3: Cross multiply
    8,293.76x = 12,441.20 × 3,099.52
  4. Step 4: Simplify right side
    8,293.76x = 38,561,748.22
  5. Step 5: Solve for x
    x = 38,561,748.22/8,293.76
  6. Step 6: Final answer
    x = 4,649.49

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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.