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Finding the Fourth Proportional to 8,232.49, 12,353.46 and 4,076.11

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Solution

The fourth proportional to 8,232.49, 12,353.46 and 4,076.11 is: 6,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.49 : 12,353.46 = 4,076.11 : x
  2. Step 2: Convert to fraction form
    8,232.49/12,353.46 = 4,076.11/x
  3. Step 3: Cross multiply
    8,232.49x = 12,353.46 × 4,076.11
  4. Step 4: Simplify right side
    8,232.49x = 50,354,061.84
  5. Step 5: Solve for x
    x = 50,354,061.84/8,232.49
  6. Step 6: Final answer
    x = 6,116.50

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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.