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Finding the Fourth Proportional to 8,134.40, 12,201.60 and 7,035.50

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Solution

The fourth proportional to 8,134.40, 12,201.60 and 7,035.50 is: 10,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.40 : 12,201.60 = 7,035.50 : x
  2. Step 2: Convert to fraction form
    8,134.40/12,201.60 = 7,035.50/x
  3. Step 3: Cross multiply
    8,134.40x = 12,201.60 × 7,035.50
  4. Step 4: Simplify right side
    8,134.40x = 85,844,356.80
  5. Step 5: Solve for x
    x = 85,844,356.80/8,134.40
  6. Step 6: Final answer
    x = 10,553.25

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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.