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Finding the Fourth Proportional to 8,093.50, 12,140.26 and 4,628.32

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Solution

The fourth proportional to 8,093.50, 12,140.26 and 4,628.32 is: 6,942.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.50 : 12,140.26 = 4,628.32 : x
  2. Step 2: Convert to fraction form
    8,093.50/12,140.26 = 4,628.32/x
  3. Step 3: Cross multiply
    8,093.50x = 12,140.26 × 4,628.32
  4. Step 4: Simplify right side
    8,093.50x = 56,189,008.16
  5. Step 5: Solve for x
    x = 56,189,008.16/8,093.50
  6. Step 6: Final answer
    x = 6,942.49

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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.