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Finding the Fourth Proportional to 8,253.88, 12,371.47 and 4,096.76

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Solution

The fourth proportional to 8,253.88, 12,371.47 and 4,096.76 is: 6,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.88 : 12,371.47 = 4,096.76 : x
  2. Step 2: Convert to fraction form
    8,253.88/12,371.47 = 4,096.76/x
  3. Step 3: Cross multiply
    8,253.88x = 12,371.47 × 4,096.76
  4. Step 4: Simplify right side
    8,253.88x = 50,682,871.34
  5. Step 5: Solve for x
    x = 50,682,871.34/8,253.88
  6. Step 6: Final answer
    x = 6,140.49

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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.